Properties of the Number 54940

Fifty-Four Thousand Nine Hundred Forty

Basics

Value: 54939 → 54940 → 54941

Parity: even

Prime: No

Previous Prime: 54919

Next Prime: 54941

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 41 × 67

Divisors: 1, 2, 4, 5, 10, 20, 41, 67, 82, 134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101011010011100

Octal: 153234

Duodecimal: 27964

Hexadecimal: d69c

Square: 3018403600

Square Root: 234.39283265492568

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) = n*(n+1)*(5·n+1)/6. A33994

Numbers k such that A003415(k) == A276085(k) (mod 5⁵), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391865

Numbers k such that the sum of the first k consecutive prime numbers is pandigital (includes all 10 digits at least once). A228468

Number of triangles a queen can make (starting anywhere) on an n X n board. A30117

Maximum possible number of subtrees of an n-node unrooted tree in which each node has maximum degree three (equivalently, rooted binary trees in which some internal nodes may have only one child). A subtree is a nonempty contiguous set of nodes, not necessarily including all descendants of the root. A124454

a(n) = (A350967(n)-1)/2. A350968

Numbers k such that (2¹²⁷-1)*2^k + 1 is prime. A98126

G.f. A(x) satisfies: A(x) = 1/(1 - x·A(x)/(1 - x·A(x)/(1 - x·A(x)²/(1 - x·A(x)²/(1 - x·A(x)³/(1 - x·A(x)³/(1 - ...))))))), a continued fraction. A301418

G.f. A(x) satisfies: [xⁿ] 1/(1 - (n+1)*x) / A(x) = 0 for n >= 1. A319945

G.f. A(x) satisfies: [xⁿ] 1/(1 - (n+1)*x) / A(x)² = 0 for n >= 1. A319946