Properties of the Number 1780

One Thousand Seven Hundred Eighty

Basics

Value: 1779 → 1780 → 1781

Parity: even

Prime: No

Previous Prime: 1777

Next Prime: 1783

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 × 89

Divisors: 1, 2, 4, 5, 10, 20, 89, 178, 356, 445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011110100

Octal: 3364

Duodecimal: 1044

Hexadecimal: 6f4

Square: 3168400

Square Root: 42.190046219457976

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that (16·10^k - 31)/3 is prime. A270929

Number of integer partitions of n without any three parts (a,b,c) (repeats allowed) satisfying a + b = c. A variation of sum-free partitions. A364345

Number of partitions of n such that the number of parts is divisible by the greatest part. Also number of partitions of n such that the greatest part is divisible by the number of parts. A168659

Number of partitions of n for which the number of even parts is equal to the positive alternating sum of the parts. A277579

Numbers that are the sum of 9 positive 6th powers. A3365

Number of partitions of n in which the sequence of frequencies of the summands is nonincreasing. A100882

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 8 as largest digit. A256708

Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable. A18227

Numbers m such that there are precisely 15 groups of order m. A294156

3x+1 sequence starting at 27. A8884