Properties of the Number 54688

Fifty-Four Thousand Six Hundred Eighty-Eight

Basics

Value: 54687 → 54688 → 54689

Parity: even

Prime: No

Previous Prime: 54679

Next Prime: 54709

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 1709

Divisors: 1, 2, 4, 8, 16, 32, 1709, 3418, 6836, 13672

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101010110100000

Octal: 152640

Duodecimal: 27794

Hexadecimal: d5a0

Square: 2990777344

Square Root: 233.85465571589546

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

Dispersion of A016873, (5k+3), by antidiagonals. A191705

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically. A253740

Expansion of g.f. A(x,y) satisfying x·y = ∑_n=-oo..+oo x^n*(3·n+1/2) * (A(x,y)^3·n - 1/A(x,y)^3·n+1), as a triangle read by rows. A361550

2-automorphic numbers: final digits of 2·n² agree with n. A30984

a(n) = (7·5ⁿ+1)/2. A199309

Number of (n+2) X (4+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically. A253736

Number of (n+2)X(n+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically. A253732

Number of nonnegative integer n X n matrices with sum of elements equal to n; polynomial symmetric functions of matrix of order n. A54688