Properties of the Number 3135

Three Thousand One Hundred Thirty-Five

Basics

Value: 3134 → 3135 → 3136

Parity: odd

Prime: No

Previous Prime: 3121

Next Prime: 3137

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 19

Divisors: 1, 3, 5, 11, 15, 19, 33, 55, 57, 95

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000111111

Octal: 6077

Duodecimal: 1993

Hexadecimal: c3f

Square: 9828225

Square Root: 55.991070716677676

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

Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492

a(n) = 4·n² - 1. A466

Double-bitters: only even length runs in binary expansion. A1196

Odd numbers k such that (10^k - 1)/3 - 2·10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime) of the form 3...313...3. A77775

a(n) = n² - 2·n. A67998

a(n) = n*(7·n - 1)/2. A22264

Numbers k such that the geometric mean of φ(k) and σ(k) is an integer. A11257

3 times octagonal numbers: a(n) = 3·n*(3·n-2). A152751

Numbers k such that σ(k) = 4*φ(k). A68390

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 2. A49458