Properties of the Number 73776

Seventy-Three Thousand Seven Hundred Seventy-Six

Basics

Value: 73775 → 73776 → 73777

Parity: even

Prime: No

Previous Prime: 73771

Next Prime: 73783

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 29 × 53

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010000000110000

Octal: 220060

Duodecimal: 36840

Hexadecimal: 12030

Square: 5442898176

Square Root: 271.6173779418394

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 (n+1) X (2+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253153

Number of (3+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253437

Number of permutations of [n] such that for each cycle the arithmetic mean of the elements is an integer. A369074

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253435

a(n) = ∑_k=1..n -μ(k+1) * a(n-k), with a(0)=1. A73776

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253159