Properties of the Number 4156

Four Thousand One Hundred Fifty-Six

Basics

Value: 4155 → 4156 → 4157

Parity: even

Prime: No

Previous Prime: 4153

Next Prime: 4157

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 1039

Divisors: 1, 2, 4, 1039, 2078, 4156

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000111100

Octal: 10074

Duodecimal: 24A4

Hexadecimal: 103c

Square: 17272336

Square Root: 64.4670458451448

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

Table read by antidiagonals: T(n,k) = number of distinct n X k toroidal binary arrays (n >= 1, k >= 1). A184271

Number of integer partitions of n whose negated run-lengths are unimodal. A332638

Number of n X n checkered tori. A179043

Number of n-digit numbers in a cycle (including fixed points) under the Kaprekar map A151949. A164732

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 or -1,-2. A264285

INVERT transform (with offset) of quadruple factorials (A008545), where g.f. satisfies: A(x) = 1 + x*[d/dx x·A(x)⁴]/A(x)⁴. A112938

Diagonal of triangular spiral in A051682. A81267

Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945. A60169

Inverse Euler transform of n!. Also the number of sequences of permutations with no global descents which are Lyndon (smallest in lexicographic order of all cyclic shifts of the sequences) where the size of the sequence = sum of sizes of the permutations. A112354

Inverse Weigh transform of n!. A168246

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