Properties of the Number 7967

Seven Thousand Nine Hundred Sixty-Seven

Basics

Value: 7966 → 7967 → 7968

Parity: odd

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 31 × 257

Divisors: 1, 31, 257, 7967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100011111

Octal: 17437

Duodecimal: 473B

Hexadecimal: 1f1f

Square: 63473089

Square Root: 89.25805285799147

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

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

G.f.: ∏_k>0 (1-x^2k-1)/(1-x^2k). A106507

Number T(n,k) of entries in the k-th cycles of all permutations of [n] when cycles are ordered by increasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A322383

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236789

Sum of the squarefree parts of the partitions of n into 4 parts. A309479

a(n) = number of m such that A080737(m) <= 2n. A80740

Number of Dyck paths of semilength n, having no ascents and no descents of length 1, and having no UUDD's starting at level 0. A166300

Sum of the smallest parts in the partitions of n into 6 parts. A308868

Numbers k such that 9·2^k + 1 is prime. A2256

Numbers whose binary representation is the concatenation of 2n-1 digits 1, n digits 0 and 2n-1 digits 1. A147540