Properties of the Number 53154

Fifty-Three Thousand One Hundred Fifty-Four

Basics

Value: 53153 → 53154 → 53155

Parity: even

Prime: No

Previous Prime: 53149

Next Prime: 53161

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2953

Divisors: 1, 2, 3, 6, 9, 18, 2953, 5906, 8859, 17718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111110100010

Octal: 147642

Duodecimal: 26916

Hexadecimal: cfa2

Square: 2825347716

Square Root: 230.5515126820902

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

Coordination sequence for C₉ lattice. A35746

Coordination sequence for 9-dimensional cubic lattice. A8418

Number of points of L1 norm 6 in cubic lattice Zⁿ. A35600

T(n,k) is the coordination number of the (n+1)-dimensional cubic lattice for radius k; triangle read by rows, n>=0, 0<=k<=n. A343599

Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n that start with exactly k (0,1) steps (or, equivalently, with exactly k (1,0) steps). A110171

Coefficient of identity representation in k-th tensor power of the irreducible representation of S_n indexed by (n-2,1,1). A94857

Square array A(n,r), the number of neighbors at a sharp Manhattan distance r in a finite n-hypercube lattice, read by upwards antidiagonals; A(n,r) = ∑_{k=0..min(n,r)} binomial(r-1,k-1)*binomial(n,k)* 2^k. A266213

Array of coordination sequences for cubic lattices (rows) and of numbers of L1 forms in cubic lattices (columns) (array read by antidiagonals). A119800

Square array A(n,k) read by antidiagonals: row n gives coordination sequence for lattice C_n. A103884

Number of 2-element intersecting families (with not necessarily distinct sets) of an n-element set. A53154