Numberwise

58

58 is the atomic number of cerium. The spark in a disposable lighter comes from ferrocerium, an alloy that sheds fragments hot enough to ignite in air when the wheel scrapes it.

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Where 58 fits

Where 58 fits: Mathematics, Science, Related numbersMathematics: Semiprime. Science: Cerium (chemical element), Space and astronomy. Related numbers: 29, 862.MathematicsSemiprimeScienceCerium (chemical element)Space and astronomyRelated numbers2986258
58 connects to 3 worlds: mathematics, science, related numbers.

Why 58 is special

58's significance is an exact scientific identifier, not a mathematical property: cerium's fixed proton count. Despite belonging to the group popularly called "rare earths", cerium is actually the most abundant of them — more common in the Earth's crust than copper.

58 connects to:

  • 29 has factor
  • cerium has scientific association with
  • numbers in space appears in
  • 862 is associated with

Factors & digit properties

Divisors (4)
1, 2, 29, 58
Prime factorisation
2 × 29
Digit sum
13
Digital root
4

Representations

Decimal
58
Scientific notation
5.800 × 10^1

Roman numerals

L V I I I

Binary

1 1 1 0 1 0

1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 58

Octal

7 2

7 × 8 + 2 × 1 = 58

Hexadecimal

3 a

3 × 16 + a × 1 = 58

Read as powers of two: 32 + 16 + 8 + 2 = 58.

In historical numeral systems

Egyptian

5 hobbles, 8 strokes

5 × 10 + 8 × 1 = 58. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

5 corner wedges + 8 vertical wedges

58 fits in a single sexagesimal place: 5 corner wedges + 8 vertical wedges.

Greek (Ionic)

nu, then eta, marked as a numeral

nu-eta + keraia

nu + eta 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 het

nun-het

nun (50) + het (8) = 58, written in descending order.

Chinese numerals

wǔ shí bā

wǔ shí bā

五 before 十 multiplies it: 5 tens. 八 after it adds 8. The written form mirrors the arithmetic — "wǔ shí bā". The financial (anti-fraud) form is 伍拾捌.

Maya

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

2 × 20 + 18 = 58. 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

Mathematical relationship
29 is a factor of 58 (29 × 2 = 58).

29 is a factor of 58 (29 × 2 = 58).

View 29
Scientific identity
58 is the atomic number of cerium.

58 is the atomic number of cerium.

Documented appearance
58 appears in Numbers in space, the topic covering numbers that carry a documented astronomy fact.

58 appears in Numbers in space, the topic covering numbers that carry a documented astronomy fact.

Mathematically related

  • has factor29
    why?

    Strength 0.50, confidence "high".

Scientific association

  • has scientific association withCerium (chemical element)
    why?

    Strength 0.50, confidence "high".

Numbers Around Us

  • appears inSpace and astronomy
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with862
    why?

    Strength 0.50, confidence "high".

How is 58 connected to another number? →

Science

  • The average distance from the Sun to Mercury is about 58 million kilometres (the Solar System). Its orbit is the most eccentric of the planets, so the distance swings between about 46 and 70 million kilometres.

    DocumentedScienceGeography: the Solar System
  • 58 is the atomic number of cerium, the most abundant of the rare-earth elements despite the name.

    DocumentedScience

Technology & computing

  • The spark that lights a disposable lighter comes from element 58. Ferrocerium — an alloy of cerium and iron — is pyrophoric, which is why scraping it works at all: the wheel shaves off fragments small enough to ignite in air at a few hundred degrees, hot enough to light butane. The same alloy is sold as a fire steel for camping. Cerium is also the polishing compound used on optical glass and, in oxide form, part of the catalytic converter's oxygen-storage layer.

    DocumentedTechnology & computing

Common questions

Is 58 a prime number?

No, 58 is not prime.

What are the factors of 58?

The factors of 58 are 1, 2, 29, 58.

What is 58 in Roman numerals?

58 in Roman numerals is LVIII.

About this page's data

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

Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026