Numberwise

83

83 is a prime number and the atomic number of bismuth — long assumed stable until 2003 measurements found it extremely weakly radioactive.

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Where 83 fits

Where 83 fits: Mathematics, Related numbersMathematics: Prime, Sophie Germain prime, Safe prime. Related numbers: 82.MathematicsPrimeSophie Germain primeSafe primeRelated numbers8283
83 connects to 2 worlds: mathematics, related numbers.

Why 83 is special

83's element, bismuth, is a genuine case of scientific correction: its 'stable' status held for over a century before precise measurement overturned it, though its half-life still vastly exceeds the age of the universe.

83 connects to:

  • 82 is adjacent to

83 is part of

Factors & digit properties

Divisors (2)
1, 83
Prime factorisation
83
Digit sum
11
Digital root
2

Representations

Decimal
83
Scientific notation
8.300 × 10^1

Roman numerals

L X X X I I I

Binary

1 0 1 0 0 1 1

1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 83

Octal

1 2 3

1 × 64 + 2 × 8 + 3 × 1 = 83

Hexadecimal

5 3

5 × 16 + 3 × 1 = 83

Read as powers of two: 64 + 16 + 2 + 1 = 83.

In historical numeral systems

Egyptian

8 hobbles, 3 strokes

8 × 10 + 3 × 1 = 83. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

1 vertical wedge (sixties place), 2 corner wedges + 3 vertical wedges (units place)

1 × 60 + 23 = 83. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

pi, then gamma, marked as a numeral

pi-gamma + keraia

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

Hebrew numerals

pe, then gimel

pe-gimel

pe (80) + gimel (3) = 83, written in descending order.

Chinese numerals

bā shí sān

bā shí sān

八 before 十 multiplies it: 8 tens. 三 after it adds 3. The written form mirrors the arithmetic — "bā shí sān". The financial (anti-fraud) form is 捌拾參.

Maya

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

4 × 20 + 3 = 83. 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
83 and 82 are consecutive integers.

83 and 82 are consecutive integers.

View 82

Nearby in a sequence

  • is adjacent to82
    why?

    Strength 0.50, confidence "high".

How is 83 connected to another number? →

Everyday life

  • Element 83 is the heaviest element that is, for practical purposes, non-toxic — which is unusual for a heavy metal and is why bismuth subsalicylate is sold over the counter for indigestion, and why the medicine turns the tongue black (a harmless sulfide, not a warning sign). The same low toxicity has made bismuth the standard substitute for lead in plumbing solder, shot and fishing weights as lead has been restricted.

    DocumentedEveryday life

Technology & computing

  • Bismuth is one of the very few substances that expands as it solidifies, and alloyed with lead, tin and cadmium it produces metals that melt below the boiling point of water. Those alloys are what makes a fire sprinkler work: a small plug melts at a set temperature and releases the water. The same low melting point is used in safety fuses and in castings that need to be melted out afterwards.

    DocumentedTechnology & computing

Science

  • 83 is the atomic number of bismuth, long assumed completely stable until 2003 measurements found it to be extremely weakly radioactive, with a half-life far longer than the age of the universe.

    DocumentedScience

Mathematics

  • 83 is prime — the 23rd prime number.

    DocumentedMathematics

Common questions

Why does bismuth medicine turn your tongue black?

Bismuth reacts with trace sulfur in saliva to form bismuth sulfide, which is black. It is harmless and washes off, and it affects the stool the same way. Bismuth is the heaviest element that is effectively non-toxic, which is unusual for a heavy metal and is why it can be sold over the counter at all.

How does a fire sprinkler know when to go off?

A small plug of low-melting-point alloy holds it shut, and heat melts it. Those alloys are mostly bismuth — element 83 — which with lead, tin and cadmium produces metals that melt below the boiling point of water. Each sprinkler head operates on its own, which is why a real fire sets off the heads above it rather than the whole building's.

Is 83 a prime number?

Yes, 83 is prime — it has exactly two positive divisors: 1 and itself.

What are the factors of 83?

The factors of 83 are 1, 83.

What is 83 in Roman numerals?

83 in Roman numerals is LXXXIII.

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