Properties of the Number 9126

Nine Thousand One Hundred Twenty-Six

Basics

Value: 9125 → 9126 → 9127

Parity: even

Prime: No

Previous Prime: 9109

Next Prime: 9127

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 13 ²

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100110

Octal: 21646

Duodecimal: 5346

Hexadecimal: 23a6

Square: 83283876

Square Root: 95.53009996854395

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

Pentagonal pyramidal numbers: a(n) = n²*(n+1)/2. A2411

a(n) = 6·n². A33581

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

30-gonal numbers: a(n) = n*(14·n-13). A254474

a(n) = ∑_{k=0..floor(n/2)} T(n,k), T given by A026747. A26755

Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k. A70275

Number of partitions of n such that the number of parts is divisible by the smallest part. A168657

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^k². A329125

Multiples of 6 in which there is no common digit in successive terms. A83494

T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with every consecutive three elements in every row and column having exactly two distinct values, and new values 0 upwards introduced in row major order. A253035