Properties of the Number 7157

Seven Thousand One Hundred Fifty-Seven

Basics

Value: 7156 → 7157 → 7158

Parity: odd

Prime: No

Previous Prime: 7151

Next Prime: 7159

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 421

Divisors: 1, 17, 421, 7157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111110101

Octal: 15765

Duodecimal: 4185

Hexadecimal: 1bf5

Square: 51222649

Square Root: 84.59905436823747

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

The number of degree sequences with degree sum 2n representable by a connected graph (with multiple edges allowed). A147878

Triangle read by rows: T(n,k) = number of n X n binary matrices with k pairwise nonadjacent 1's, n >= 0, k = 0..n². A232833

Expansion of x²*(2 - x + x²) / ((1 + x)*(1 - x)⁴). A26035

Expansion of ∏_m>=1 (1+q^m)^-3. A22598

McKay-Thompson series of class 32a for the Monster group. A107635

Number of n-dimensional partitions of 5. A8779

Antiharmonic mean of the divisors of A228023(n) (the n-th primitive antiharmonic number). A228024

Thickened pyramidal numbers: a(n) = 2*(n+1)*n + ∑_i=1..n (4·i*(i-1) + 1). A50533

Number of ways to place 8 nonattacking wazirs on an n X n board. A201508

Conjectured record-breaking numbers of odd elements, for ascending positive integers k, in primitive cycles of positive integers under iteration by the Collatz-like 3x+k function. A226673