Properties of the Number 77472

Seventy-Seven Thousand Four Hundred Seventy-Two

Basics

Value: 77471 → 77472 → 77473

Parity: even

Prime: No

Previous Prime: 77471

Next Prime: 77477

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 269

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111010100000

Octal: 227240

Duodecimal: 38A00

Hexadecimal: 12ea0

Square: 6001910784

Square Root: 278.33792411383683

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

Keys added to a map T initialized with T[1] = 1 and updated at each iteration according to T[value] := (T[value] if defined else 0) + key, for all (key, value) pairs already in T; listed in order the keys are added to the map (cf. comments for details). A390939

Expansion of the generating function of quartic rooted planar Eulerian orientations, counted by vertices. A324314

Value of T[4] after the n-th iteration, when the map T is initialized with T[1] = 1 and in subsequent iterations, T[v] = k + (T[v] if defined else 0) for all key-value pairs (k, v) in T; a(n) = 0 if T[4] isn't defined yet. A390944

Product of sums of divisors and non-divisors. A66859

a(n) = φ(Padovan(n+4)). A107797

Greedy powers of (5/8): ∑_n>=1 (5/8)^a(n) = 1. A77472

Number of ways to place 8n nonattacking kings on a 16·2n chessboard. A174558