Numberwise

1526

1526 is the year the Mughal Empire was founded.

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Where 1526 fits

Where 1526 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1857.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers18571526
1526 connects to 3 worlds: mathematics, history, related numbers.

Why 1526 is special

Babur won at Panipat with artillery against a far larger force. The empire lasted three centuries and produced the Taj Mahal, a common administrative language and much of the framework the British later inherited.

1526 is part of

Factors & digit properties

Divisors (8)
1, 2, 7, 14, 109, 218, 763, 1526
Prime factorisation
2 × 7 × 109
Digit sum
14
Digital root
5

Representations

Decimal
1526
Scientific notation
1.526 × 10^3

Roman numerals

M D X X V I

Binary

1 0 1 1 1 1 1 0 1 1 0

1 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,526

Octal

2 7 6 6

2 × 512 + 7 × 64 + 6 × 8 + 6 × 1 = 1,526

Hexadecimal

5 f 6

5 × 256 + f × 16 + 6 × 1 = 1,526

Read as powers of two: 1,024 + 256 + 128 + 64 + 32 + 16 + 4 + 2 = 1,526.

In historical numeral systems

Egyptian

1 lotus, 5 coils of rope, 2 hobbles, 6 strokes

1 × 1,000 + 5 × 100 + 2 × 10 + 6 × 1 = 1,526. 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), 2 corner wedges + 6 vertical wedges (units place)

25 × 60 + 26 = 1526. 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

  • Deficient number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1526 is a year in the 16th century, in the 1520s.

1526 is a year in the 16th century, in the 1520s.

Connection
The Mughal Empire was founded in 1526 and formally ended in 1858, after the rebellion of 1857 transferred India to direct British rule.

The Mughal Empire was founded in 1526 and formally ended in 1858, after the rebellion of 1857 transferred India to direct British rule.

View 1857

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1857
    why?

    Strength 0.50, confidence "high".

How is 1526 connected to another number? →

History

  • In 1526, Babur defeated the Sultan of Delhi at the First Battle of Panipat, founding the Mughal Empire (South Asia).

    DocumentedHistoryGeography: South AsiaPeriod: 1526
  • Babur's victory at Panipat in 1526 established Mughal rule in northern India, won by field artillery and tactics against an army several times larger. The administrative structures built afterwards were substantially inherited by later rulers.

    DocumentedHistoryGeography: IndiaPeriod: 1526

Common questions

Is 1526 a prime number?

No, 1526 is not prime.

What are the factors of 1526?

The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526.

What is 1526 in Roman numerals?

1526 in Roman numerals is MDXXVI.

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