Numberwise

1258

1258 is the year Baghdad fell to the Mongols.

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Where 1258 fits

Where 1258 fits: Mathematics, History, Related numbersMathematics: Happy number. History: Historical years. Related numbers: 1206, 762.MathematicsHappy numberHistoryHistorical yearsRelated numbers12067621258
1258 connects to 3 worlds: mathematics, history, related numbers.

Why 1258 is special

The House of Wisdom, one of the great libraries of the medieval world, was destroyed. The loss is often given as an endpoint for the Islamic Golden Age, though historians argue the decline was already under way.

1258 is part of

Happy numbersNumbers around us

Factors & digit properties

Divisors (8)
1, 2, 17, 34, 37, 74, 629, 1258
Prime factorisation
2 × 17 × 37
Digit sum
16
Digital root
7

Representations

Decimal
1258
Scientific notation
1.258 × 10^3

Roman numerals

M C C L V I I I

Binary

1 0 0 1 1 1 0 1 0 1 0

1 × 1,024 + 0 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,258

Octal

2 3 5 2

2 × 512 + 3 × 64 + 5 × 8 + 2 × 1 = 1,258

Hexadecimal

4 e a

4 × 256 + e × 16 + a × 1 = 1,258

Read as powers of two: 1,024 + 128 + 64 + 32 + 8 + 2 = 1,258.

In historical numeral systems

Egyptian

1 lotus, 2 coils of rope, 5 hobbles, 8 strokes

1 × 1,000 + 2 × 100 + 5 × 10 + 8 × 1 = 1,258. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

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

20 × 60 + 58 = 1258. 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
1258 is a year in the 13th century, in the 1250s.

1258 is a year in the 13th century, in the 1250s.

Connection
The Mongol confederation formed in 1206 and took Baghdad in 1258. Fifty years separate a union of steppe tribes from the sack of the largest city in the Islamic world.

The Mongol confederation formed in 1206 and took Baghdad in 1258. Fifty years separate a union of steppe tribes from the sack of the largest city in the Islamic world.

View 1206 →

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1206
    why?

    Strength 0.50, confidence "high".

  • is associated with762
    why?

    Strength 0.50, confidence "high".

How is 1258 connected to another number? →

History

  • In 1258, the Mongols sacked Baghdad and killed the last Abbasid caliph, ending five centuries of the caliphate (Iraq).

    DocumentedHistoryGeography: IraqPeriod: 1258

  • The destruction of Baghdad and its libraries in 1258 is conventionally the end of the Islamic Golden Age. Scholarship increasingly treats it as a severe blow to a period already changing rather than a single terminal event.

    DocumentedHistoryGeography: BaghdadPeriod: 1258

Common questions

Is 1258 a prime number?

No, 1258 is not prime.

What are the factors of 1258?

The factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258.

What is 1258 in Roman numerals?

1258 in Roman numerals is MCCLVIII.

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