Properties of the Number 55843

Fifty-Five Thousand Eight Hundred Forty-Three

Basics

Value: 55842 → 55843 → 55844

Parity: odd

Prime: Yes

Previous Prime: 55837

Next Prime: 55849

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 55843

Divisors: 1, 55843

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101000100011

Octal: 155043

Duodecimal: 28397

Hexadecimal: da23

Square: 3118440649

Square Root: 236.3112354502003

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

Primes of the form k² + k + 55661, with k >= 0. A116206

Main diagonal of Ludic array A255127 (and A255129): a(n) = A255127(n,n). A255410

Row sums of the triangle described in A082200. A82203

Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] δ [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where δ is the operator defined in A084938. A94456

Expansion of (1+3·x)/(1-x)¹⁰. A55843

Number of nX7 nonnegative integer arrays with upper left 0 and lower right n+7-4 and value increasing by 0 or 1 with every step right or down. A252875

Number of nX7 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229427

Number of nX7 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252819