Properties of the Number 53124

Fifty-Three Thousand One Hundred Twenty-Four

Basics

Value: 53123 → 53124 → 53125

Parity: even

Prime: No

Previous Prime: 53117

Next Prime: 53129

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 19 × 233

Divisors: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111110000100

Octal: 147604

Duodecimal: 268B0

Hexadecimal: cf84

Square: 2822159376

Square Root: 230.4864421175354

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

G.f.: A(x) = exp( ∑_n>=1 3·A038500(n) * xⁿ/n ), where A038500 is the highest power of 3 dividing n. A161809

Alternately append n to end or beginning of previous term. A53064

Deep factorization of n, A300560, converted from binary to decimal. (Binary digits obtained by recursively replacing each factor p^e with [primepi(p) [e]], then '[' = 1, ']' = 0.) A300561

The number of unlabeled graphs on n nodes with degree of 1 or 2. A186417

Concatenate the decimal numbers n n-2 n-4 ...5 3 1 2 4 ... n-5 n-3 n-1 if n is odd, or n n-2 n-4 ... 6 4 2 1 3 5 ... n-5 n-3 n-1 if n is even. A281254

a(n) = 3*(9·n - 1)*(3·n - 2). A277985

a(n) = a(n-1) + a(n-3), with a(0) = a(1) = 1, a(2) = 5. A11761

a(n) = (n+6)*(n+1)*(n² + 7·n + 16)/4. A168538

Number of permutations in S_n that avoid the pattern 53124. A256199

Decimal representation of permutations of lengths 1, 2, 3, ... A306428