Properties of the Number 54945

Fifty-Four Thousand Nine Hundred Forty-Five

Basics

Value: 54944 → 54945 → 54946

Parity: odd

Prime: No

Previous Prime: 54941

Next Prime: 54949

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 3 ³ × 5 × 11 × 37

Divisors: 1, 3, 5, 9, 11, 15, 27, 33, 37, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011010100001

Octal: 153241

Duodecimal: 27969

Hexadecimal: d6a1

Square: 3018953025

Square Root: 234.40349826741067

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

Palindromic in bases 10 and 32. A99165

T(n,k) = Hilltop maps: number of n X k binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 n X k array. A218663

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844

Palindromes with exactly 6 prime factors (counted with multiplicity). A46332

Row sums of triangle A177390. A177394

Palindromic quotients (k*(k+1)*(k+2)) / (k+(k+1)+(k+2)). A32790

Number of simple labeled graphs on n nodes with exactly 9 connected components that are trees or cycles. A215859

Number of simple labeled graphs on n+3 nodes with exactly n connected components that are trees or cycles. A215863

Hilltop maps: number of n X 2 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 n X 2 array. A218657

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436