Properties of the Number 75681

Seventy-Five Thousand Six Hundred Eighty-One

Basics

Value: 75680 → 75681 → 75682

Parity: odd

Prime: No

Previous Prime: 75679

Next Prime: 75683

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2803

Divisors: 1, 3, 9, 27, 2803, 8409, 25227, 75681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10010011110100001

Octal: 223641

Duodecimal: 37969

Hexadecimal: 127a1

Square: 5727613761

Square Root: 275.10179933980805

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 integers in n-th generation of tree T(2/3) defined in Comments. A274145

Integer part of log(n!)^sqrt(n). A62453

Nearest integer to log(n!)^sqrt(n). A62454

Number of n X 5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A306163

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A306166

a(n) = (n-1)*(n-2)³ - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2. A75681