Numberwise

1538

Iron melts at about 1,538 degrees Celsius.

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Where 1538 fits

Where 1538 fits: Mathematics, History, Related numbersMathematics: Semiprime. History: Historical years. Related numbers: 2862, 660, 1064, 1132, 419.MathematicsSemiprimeHistoryHistorical yearsRelated numbers2862660106411321538
1538 connects to 3 worlds: mathematics, history, related numbers.

Why 1538 is special

Smelting iron requires reaching that temperature, which is why the Iron Age began millennia after the Bronze Age despite iron ore being far more common than tin. Availability of the material was never the constraint; the furnace was.

1538 connects to:

  • historical years appears in
  • 2862 is associated with
  • 660 contrasts with
  • 1064 contrasts with
  • 1132 contrasts with
  • 419 is associated with

Same number, different meanings

How 1538 is understood across different contexts — never implying one meaning because of another.

1538 is part of

Factors & digit properties

Divisors (4)
1, 2, 769, 1538
Prime factorisation
2 × 769
Digit sum
17
Digital root
8

Representations

Decimal
1538
Scientific notation
1.538 × 10^3

Roman numerals

M D X X X V I I I

Binary

1 1 0 0 0 0 0 0 0 1 0

1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,538

Octal

3 0 0 2

3 × 512 + 0 × 64 + 0 × 8 + 2 × 1 = 1,538

Hexadecimal

6 0 2

6 × 256 + 0 × 16 + 2 × 1 = 1,538

Read as powers of two: 1,024 + 512 + 2 = 1,538.

In historical numeral systems

Egyptian

1 lotus, 5 coils of rope, 3 hobbles, 8 strokes

1 × 1,000 + 5 × 100 + 3 × 10 + 8 × 1 = 1,538. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

2 corner wedges + 5 vertical wedges (sixties place), 3 corner wedges + 8 vertical wedges (units place)

25 × 60 + 38 = 1538. Places are separated by a space on the tablet, with the higher place written first.

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

Documented appearance
1538 is a year in the 16th century, in the 1530s.

1538 is a year in the 16th century, in the 1530s.

Connection
Iron melts at 1,538 degrees and boils at 2,862. That 1,300-degree working range is what makes casting possible: molten iron can be poured without evaporating.

Iron melts at 1,538 degrees and boils at 2,862. That 1,300-degree working range is what makes casting possible: molten iron can be poured without evaporating.

View 2862

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with2862
    why?

    Strength 0.50, confidence "high".

  • contrasts with660
    why?

    Strength 0.50, confidence "high".

  • contrasts with1064
    why?

    Strength 0.50, confidence "high".

  • contrasts with1132
    why?

    Strength 0.50, confidence "high".

  • is associated with419
    why?

    Strength 0.50, confidence "high".

How is 1538 connected to another number? →

History

  • In 1538, English parishes were ordered to keep registers of baptisms, marriages and burials, beginning the record series genealogy still depends on (England).

    DocumentedHistoryGeography: EnglandPeriod: 1538

Science

  • Iron is far more abundant than the tin bronze requires, and the Iron Age still came later. The reason is 1,538 degrees: bronze melts around 950, and reaching iron's melting point needed furnace technology that took centuries to develop.

    DocumentedScience

Common questions

Is 1538 a prime number?

No, 1538 is not prime.

What are the factors of 1538?

The factors of 1538 are 1, 2, 769, 1538.

What is 1538 in Roman numerals?

1538 in Roman numerals is MDXXXVIII.

About this page's data

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

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026