Properties of the Number 55761

Fifty-Five Thousand Seven Hundred Sixty-One

Basics

Value: 55760 → 55761 → 55762

Parity: odd

Prime: No

Previous Prime: 55733

Next Prime: 55763

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 18587

Divisors: 1, 3, 18587, 55761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100111010001

Octal: 154721

Duodecimal: 28329

Hexadecimal: d9d1

Square: 3109289121

Square Root: 236.13767170868778

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

Number of parts if 3ⁿ is partitioned into parts of size 2ⁿ as far as possible and into parts of size 1ⁿ. A60692

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A222402

Number of double palindrome structures of length n using a maximum of three different symbols. A328692

Number of nX4 0..2 arrays with exactly floor(nX4/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A222398

Number of nX7 0..2 arrays with exactly floor(nX7/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A222401

Number of permutations on [n] whose local maxima are in ascending order. A105072

Number of permutations of length n which avoid the patterns 1234, 2143, 3421. A116842

Jacobi form of weight 12 and index 1 for Niemeier lattice of type A₆⁴. A55761