Properties of the Number 9102

Nine Thousand One Hundred Two

Basics

Value: 9101 → 9102 → 9103

Parity: even

Prime: No

Previous Prime: 9091

Next Prime: 9103

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 37 × 41

Divisors: 1, 2, 3, 6, 37, 41, 74, 82, 111, 123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001110

Octal: 21616

Duodecimal: 5326

Hexadecimal: 238e

Square: 82846404

Square Root: 95.40440241414439

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

a(n) = (n-1)*n*(n+4)/6. A5581

Number of reduced words of length n in the Weyl group D₃₇. A162389

Number of fixed points in all 231-avoiding involutions in S_n. A59570

Total number of smallest parts in all partitions of n into odd parts. A92268

Number of partitions of n such that neither the number of parts nor the number of distinct parts is a part. A241380

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and column. A269505

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that each block of part i with multiplicity j has a pattern of i·j colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A326500

Irregular table whose rows list the nontrivial cycles of the ghost iteration A329201, starting with the smallest member. A329342

Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2·n+3)*(2·n-1). A30440

Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3. A37618