Properties of the Number 54279

Fifty-Four Thousand Two Hundred Seventy-Nine

Basics

Value: 54278 → 54279 → 54280

Parity: odd

Prime: No

Previous Prime: 54277

Next Prime: 54287

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 37 × 163

Divisors: 1, 3, 9, 37, 111, 163, 333, 489, 1467, 6031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010000000111

Octal: 152007

Duodecimal: 274B3

Hexadecimal: d407

Square: 2946209841

Square Root: 232.9785397842471

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

Numbers k such that k³ divides 10^k² - 1. A177243

Number T(n,k) of parts in all proper k-times partitions of n into distinct parts; triangle T(n,k), n >= 1, 0 <= k <= max(0,n-2), read by rows. A327632

Sum of digits of (2ⁿ)!. A244060

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones. A31803

a(n) = (2·n³ + 5·n² + 11·n)/2. A162263

Positions of 3's in the decimal expansion of exp(1). A54279

Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237505

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259005