Properties of the Number 54846

Fifty-Four Thousand Eight Hundred Forty-Six

Basics

Value: 54845 → 54846 → 54847

Parity: even

Prime: No

Previous Prime: 54833

Next Prime: 54851

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 11 × 277

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101011000111110

Octal: 153076

Duodecimal: 278A6

Hexadecimal: d63e

Square: 3008083716

Square Root: 234.19222873528489

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

a(n) = sum of squares of first n positive integers congruent to 1 mod 4. A24381

Sum of the areas of the Durfee squares of all partitions of n. A116503

Number of Carlitz compositions of n with exactly six descents. A241696

Irregular triangle read by rows: T(n,k) (n>=2, 1<=k<=n) gives number of arrangements of the elements from the multiset M(n, 4) into exactly k disjoint cycles. A245184

Number of arrays of 5 integers in -n..n with sum zero and the sum of every adjacent pair being odd. A202077

Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101. A260835

Expansion of ∑_i>=1 x^i³ / (1 - ∑_j>=1 x^j³)². A281809

[ exp(4/13)*n! ]. A30930

Nearest integer to n^2/3. A54846