Properties of the Number 75882

Seventy-Five Thousand Eight Hundred Eighty-Two

Basics

Value: 75881 → 75882 → 75883

Parity: even

Prime: No

Previous Prime: 75869

Next Prime: 75883

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 12647

Divisors: 1, 2, 3, 6, 12647, 25294, 37941, 75882

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100001101010

Octal: 224152

Duodecimal: 37AB6

Hexadecimal: 1286a

Square: 5758077924

Square Root: 275.46687641166585

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

Total sum A(n,k) of the k-th powers of lengths of ascending runs in all permutations of [n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A229001

Total sum of squared lengths of ascending runs in all permutations of [n]. A228959

p-INVERT of the positive integers, where p(S) = 1 - S⁶. A290894

a(n) = φ(∑_i=1..n prime(i)). A75882