Properties of the Number 53421

Fifty-Three Thousand Four Hundred Twenty-One

Basics

Value: 53420 → 53421 → 53422

Parity: odd

Prime: No

Previous Prime: 53419

Next Prime: 53437

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17807

Divisors: 1, 3, 17807, 53421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000010101101

Octal: 150255

Duodecimal: 26AB9

Hexadecimal: d0ad

Square: 2853803241

Square Root: 231.12983364334428

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

Fixed points of the function A260529(n) = concatenation of the positions of digits 9, 8,..., 0 in the decimal representation of n, using 1 for the rightmost digit etc., skipping digits which don't occur. A260275

Number of permutations avoiding the consecutive pattern 53421. A202214

Number of permutations in S_n that avoid the pattern 53421. A256207

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, 0, 0)}. A150062

Number of all trees of weight n, where nodes have positive integer weights and the sum of the weights of the children of a node is equal to the weight of the node. A118376

Number T(n,k) of permutations p of [n] such that in 0p the largest up-jump equals k and no down-jump is larger than 2; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A291680

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the generalized pattern 23-1; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A260670

Eulerian numbers (Euler's triangle: column k=4 of A008292, column k=3 of A173018). A498

Number of permutations σ of [n] without fixed points such that σ⁶ = Id. A261317

Number T(n,k) of permutations p of [n] such that in 0p the sum of all jumps equals k + n; triangle T(n,k), n >= 0, 0 <= k <= n*(n-1)/2, read by rows. A291722