Numberwise

59

59 is the highest number a clock's minutes or seconds ever show, because the sixtieth is the next minute up. It is prime, and the atomic number of praseodymium.

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Where 59 fits

Where 59 fits: Mathematics, Related numbersMathematics: Prime, Safe prime, Twin prime. Related numbers: 61.MathematicsPrimeSafe primeTwin primeRelated numbers6159
59 connects to 2 worlds: mathematics, related numbers.

Why 59 is special

59's clearest claim to fame is its position: the last prime before one of the most practically useful numbers, 60.

59 connects to:

  • 61 is associated with

59 is part of

Factors & digit properties

Divisors (2)
1, 59
Prime factorisation
59
Digit sum
14
Digital root
5

Representations

Decimal
59
Scientific notation
5.900 × 10^1

Roman numerals

L I X

LIX uses the subtractive pair IX: one before ten — ten minus one.

Binary

1 1 1 0 1 1

1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 59

Octal

7 3

7 × 8 + 3 × 1 = 59

Hexadecimal

3 b

3 × 16 + b × 1 = 59

Read as powers of two: 32 + 16 + 8 + 2 + 1 = 59.

In historical numeral systems

Egyptian

5 hobbles, 9 strokes

5 × 10 + 9 × 1 = 59. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

5 corner wedges + 9 vertical wedges

59 fits in a single sexagesimal place: 5 corner wedges + 9 vertical wedges.

Greek (Ionic)

nu, then theta, marked as a numeral

nu-theta + keraia

nu + theta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.

Hebrew numerals

nun, then tet

nun-tet

nun (50) + tet (9) = 59, written in descending order.

Chinese numerals

wǔ shí jiǔ

wǔ shí jiǔ

五 before 十 multiplies it: 5 tens. 九 after it adds 9. The written form mirrors the arithmetic — "wǔ shí jiǔ". The financial (anti-fraud) form is 伍拾玖.

Maya

2 dots (upper, twenties place) over 3 bars + 4 dots (lower, units place)

2 × 20 + 19 = 59. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

Related numbers & connections

Shared classification
59 and 61 are twin primes — two primes exactly two apart.

59 and 61 are twin primes — two primes exactly two apart.

View 61

Shares a distinctive class

  • is associated with61
    why?

    Strength 0.50, confidence "high".

How is 59 connected to another number? →

Everyday life

  • 59 is the highest value a minute or seconds field reaches before rolling over, so digital clocks never show 60. The exception is the leap second, which has occasionally produced a legitimate 23:59:60 in Coordinated Universal Time — a practice the international timekeeping bodies have voted to discontinue by 2035.

    DocumentedEveryday life

Technology & computing

  • A minute containing sixty-one seconds breaks software that assumes it cannot. The 30 June 2012 leap second caused a Linux kernel bug to spike CPU usage on servers worldwide, taking down several large sites. The usual mitigation is a 'leap smear', spreading the extra second across a whole day so no clock ever shows 23:59:60 — which keeps machines working at the cost of every one of them being briefly, deliberately wrong.

    DocumentedTechnology & computingPeriod: 2012 onwards

Science

  • 59 is the atomic number of praseodymium, used in the strongest permanent magnets and in the glass of welders' goggles, where it filters out the intense yellow glare.

    DocumentedScience

Mathematics

  • 59 is prime, sitting directly before the highly composite number 60.

    DocumentedMathematics

Common questions

Why do clocks never show 60 seconds?

Because the sixtieth second is the next minute. Seconds run 00 to 59 and then the minute rolls over, the same way an odometer goes from 9 to 0. The one exception is the leap second, which has genuinely produced 23:59:60 in Coordinated Universal Time — a practice international timekeeping bodies have voted to discontinue by 2035.

What is a leap second, and why do computers hate it?

An extra second inserted into Coordinated Universal Time to keep it in step with the Earth's slightly irregular rotation, producing a genuine 23:59:60. Software that assumes a minute has sixty seconds handles it badly — the 30 June 2012 leap second triggered a Linux kernel bug that spiked CPU usage and took down several large sites. Most operators now 'smear' the second across a whole day instead. The practice is due to be discontinued by 2035.

Is 59 a prime number?

Yes, 59 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 59?

The factors of 59 are 1, 59.

What is 59 in Roman numerals?

59 in Roman numerals is LIX. IX is subtractive: one before ten — ten minus one. Written additively it would be LVIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 4 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026