Properties of the Number 9153

Nine Thousand One Hundred Fifty-Three

Basics

Value: 9152 → 9153 → 9154

Parity: odd

Prime: No

Previous Prime: 9151

Next Prime: 9157

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 113

Divisors: 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111000001

Octal: 21701

Duodecimal: 5369

Hexadecimal: 23c1

Square: 83777409

Square Root: 95.67131231461184

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

Number of colored labeled n-node graphs with 2 interchangeable colors. A684

Generalized 28-gonal (or icosioctagonal) numbers: m*(13·m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ... A303812

a(n) is the (n+1)st (n+2)-gonal number. A64808

T(n,k)=Number of arrangements of n+1 numbers x(i) in -k..k with the sum of x(i)*x(i+1) equal to zero. A188358

28-gonal numbers: a(n) = n*(13·n - 12). A161935

G.f. satisfies A(x) = 1 + x·A(x)³ + x³*A(x)³. A367059

Partial sums of A000132. A175360

Array read by antidiagonals: T(n,k) = n! * ∑_s 2^{∑_i=1..k-1 s(i}*s(i+1))/(∏_i=1..k s(i)!) where the sum is over all nonnegative compositions s of n into k parts. A361950

Left edge of the triangle A045975. A204556

Expansion of ∏_k>=1 (1 - x^2·k)^2·k/(1 - x^2·k-1)^2·k-1. A281781