Properties of the Number 72878

Seventy-Two Thousand Eight Hundred Seventy-Eight

Basics

Value: 72877 → 72878 → 72879

Parity: even

Prime: No

Previous Prime: 72871

Next Prime: 72883

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 13 × 2803

Divisors: 1, 2, 13, 26, 2803, 5606, 36439, 72878

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110010101110

Octal: 216256

Duodecimal: 36212

Hexadecimal: 11cae

Square: 5311202884

Square Root: 269.9592561850769

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

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p that are > p/2. A282042

a(n) = 4394·n - 1820. A156627

a(n) = 4·a(n-1)*a(n-2)*a(n-3) - a(n-4) with a(1) = a(2) = a(3) = a(4) = 1. A72878

Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254262

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally and vertically. A254301