Properties of the Number 782

Seven Hundred Eighty-Two

Basics

Value: 781 → 782 → 783

Parity: even

Prime: No

Previous Prime: 773

Next Prime: 787

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 17 × 23

Divisors: 1, 2, 17, 23, 34, 46, 391, 782

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001110

Octal: 1416

Duodecimal: 552

Hexadecimal: 30e

Square: 611524

Square Root: 27.964262908219126

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Number of partitions of n into an odd number of parts. A27193

a(n) = n² - 2. A8865

Numbers whose sum of divisors is a square. A6532

One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes. A701

Number of integer partitions of n such that every distinct submultiset has a different average. A316313

Numbers k such that k⁸ + 1 is prime. A6314

a(n) = solution to the postage stamp problem with 2 denominations and n stamps. A14616

Number of partitions of 2n of type EO (see Comments). A236559