Properties of the Number 75668

Seventy-Five Thousand Six Hundred Sixty-Eight

Basics

Value: 75667 → 75668 → 75669

Parity: even

Prime: No

Previous Prime: 75659

Next Prime: 75679

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 18917

Divisors: 1, 2, 4, 18917, 37834, 75668

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011110010100

Octal: 223624

Duodecimal: 37958

Hexadecimal: 12794

Square: 5725646224

Square Root: 275.0781707078917

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

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281129

Irregular triangle read by rows: T(n,k) is the number of permutations in S_n having k stretching pairs. A216120

m for which p(m) is the least prime dividing #p(n) + 1, i.e., primorial n-th prime augmented by 1 (A005234). A68488

Number of nX4 0..2 arrays with no element equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281126

Sum of next n 7th powers. A75668