Properties of the Number 6667

Six Thousand Six Hundred Sixty-Seven

Basics

Value: 6666 → 6667 → 6668

Parity: odd

Prime: No

Previous Prime: 6661

Next Prime: 6673

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 59 × 113

Divisors: 1, 59, 113, 6667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000001011

Octal: 15013

Duodecimal: 3A37

Hexadecimal: 1a0b

Square: 44448889

Square Root: 81.65169930871004

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

Number of Fibonacci numbers A000045(k), k <= 10ⁿ, which end in 4. A67275

Numbers n > 2 such that n divides the concatenation of n-2 and n-1. A88797

Numbers which have only digits 6 and 7 in base 10. A256292

Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion. A51003

a(n) = 6·n² + 4·n + 1. A80859

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (-1)^k * (x^k + n·R(n,x))^k = 1 + (n+2)*∑_k>=1 (-1)^k * x^k², for n >= 1, as read by antidiagonals. A370020

"DIK" (bracelet, indistinct, unlabeled) transform of A000237. A35349

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 5·A(x))ⁿ = 1 + 7*∑_n>=1 (-1)ⁿ * x^n². A370025

a(n) = A052217(n)/3. A88405

Numbers of the form (10^a + 10^b + 1)/3. A237424