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1782

1782 is the year the bald eagle was adopted as the US national emblem.

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Where 1782 fits

Where 1782 fits: MathematicsMathematics: Harshad (Niven) number.MathematicsHarshad (Niven) number1782
1782 connects to 1 world: mathematics.

Why 1782 is special

Franklin's often-quoted objection, calling it a bird of bad moral character, comes from a private letter and was not an argument for the turkey as commonly retold.

Factors & digit properties

Divisors (20)
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782
Prime factorisation
2 × 3^4 × 11
Digit sum
18
Digital root
9

Representations

Decimal
1782
Binary
11011110110
Octal
3366
Hexadecimal
6f6
Roman numeral
MDCCLXXXII
Scientific notation
1.782 × 10^3

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Culture

  • Franklin did criticise the bald eagle's character in a 1784 letter to his daughter. He did not propose the turkey as the national bird, which is a later embellishment repeated as fact.

    DocumentedCultureGeography: United StatesPeriod: 1782

Common questions

Is 1782 a prime number?

No, 1782 is not prime.

What are the factors of 1782?

The factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782.

What is 1782 in Roman numerals?

1782 in Roman numerals is MDCCLXXXII.

About this page's data

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

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026

1782 — Mathematical Properties and Representations | Numberwise