Properties of the Number 7175

Seven Thousand One Hundred Seventy-Five

Basics

Value: 7174 → 7175 → 7176

Parity: odd

Prime: No

Previous Prime: 7159

Next Prime: 7177

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 7 × 41

Divisors: 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000111

Octal: 16007

Duodecimal: 419B

Hexadecimal: 1c07

Square: 51480625

Square Root: 84.70537173048709

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

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n² + 5)/6. A4006

Number of partitions of n in which the least part is odd. A26804

14-gonal (or tetradecagonal) numbers: a(n) = n*(6·n-5). A51866

a(n) = (2·n - 1)*(11·n² - 11·n + 6)/6. A63492

G.f.: 1/(1 + x·d/dx log(η(x))), where η(x) is Dedekind's η(q) function without the q^1/24 factor. A180305

Pointwise product of the arithmetic derivative and the primorial base exp-function. A358669

Numbers that are the sum of ten fourth powers in seven or more ways. A345600

Numbers that are the sum of ten fourth powers in exactly seven ways. A345859

The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0 < r <= n. Sequence contains the leading diagonal. A110427