Properties of the Number 8553

Eight Thousand Five Hundred Fifty-Three

Basics

Value: 8552 → 8553 → 8554

Parity: odd

Prime: No

Previous Prime: 8543

Next Prime: 8563

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2851

Divisors: 1, 3, 2851, 8553

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101101001

Octal: 20551

Duodecimal: 4B49

Hexadecimal: 2169

Square: 73153809

Square Root: 92.4824307639024

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

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by plus or minus one modulo k+1. A269690

Expansion of ∏_k>=1 1 / (1 + k·x^k)^k. A266971

Number of strict integer partitions of 2n not containing n. A365828

Expansion of ∑_k>=1 x^k/(1 + x^k)⁴. A320901

a(n) = ∑_d∣n (-1)^n/d-1 * binomial(d+2,3). A366813

Least number k>1 such that k+10ⁿ is a symmetric prime with symmetric digits (i.e. such that k+10ⁿ is in A007500). A122490

Denominators of continued fraction convergents to sqrt(138). A41253

G.f.: A(x) = 1 + x*(A₂)³; A₂ = 1 + x²*(A₃)³; A₃ = 1 + x³*(A₄)³; ... A_n = 1 + xⁿ*(A_n+1)³ for n>=1 with A₁ = A(x). A132330

Number of lattice paths from (0,0) to (n,n) using steps S={(k,0),(0,k)|0<k<=4} which never go above the line y=x. A175891

Number of 7's in the last section of the set of partitions of n. A206557