Properties of the Number 11977

Eleven Thousand Nine Hundred Seventy-Seven

Basics

Value: 11976 → 11977 → 11978

Parity: odd

Prime: No

Previous Prime: 11971

Next Prime: 11981

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 29 × 59

Divisors: 1, 7, 29, 59, 203, 413, 1711, 11977

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011001001

Octal: 27311

Duodecimal: 6B21

Hexadecimal: 2ec9

Square: 143448529

Square Root: 109.43948099292137

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 k | 13^k + 1. A15963

Numbers k such that k³ divides 6^k² + 1. A128680

Number of strict multiset partitions of normal multisets of size n, where a multiset is normal if it spans an initial interval of positive integers. A317776

Numbers k such that k³ divides 13^k² + 1. A177813

Numbers k such that k | 6^k + 1. A15953

T(n,k)=Number of (n+4)X(k+4) binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s. A183465

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero. A316518

G.f. A(x) satisfies 1 = ∑_n>=0 (-x)^n² * A(x)ⁿ⁺¹. A193114

Irregular table read by rows, T(n, k) is the rank of the k-th Seidel permutation of {1,...,n}, permutations sorted in lexicographical order. A347600

a(n) = 7·n*(2·n + 1). A195026