Properties of the Number -4156

One Hundred Fifty-Six

Basics

Value: -4157 → -4156 → -4155

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A115216; by antidiagonals. A202868

Inverse Euler transform of (-1)ⁿ * n!. A305786

Inverse Weigh transform of (-1)ⁿ * n!. A306153

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