Properties of the Number 477

Four Hundred Seventy-Seven

Basics

Value: 476 → 477 → 478

Parity: odd

Prime: No

Previous Prime: 467

Next Prime: 479

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 53

Divisors: 1, 3, 9, 53, 159, 477

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011101

Octal: 735

Duodecimal: 339

Hexadecimal: 1dd

Square: 227529

Square Root: 21.840329667841555

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

Coordination sequence T1 for Zeolite Code ABW and ATN. A8000

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

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Multiples of 9: a(n) = 9·n. A8591

Expansion of g.f. x/((1 - x)²*(1 - x³)). A1840

Least inverse of A015910: smallest integer k > 0 such that 2^k mod k = n, or 0 if no such k exists. A36236

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

Numbers k such that k² + 2 is prime. A67201

Polylogarithm li(-n,-1/2) multiplied by (3ⁿ⁺¹)/2. A212846