Properties of the Number 9501

Nine Thousand Five Hundred One

Basics

Value: 9500 → 9501 → 9502

Parity: odd

Prime: No

Previous Prime: 9497

Next Prime: 9511

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 3167

Divisors: 1, 3, 3167, 9501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100011101

Octal: 22435

Duodecimal: 55B9

Hexadecimal: 251d

Square: 90269001

Square Root: 97.47307320486001

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 5x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 1 - x - x². A367210

Expansion of g.f. (1-2·x+51·x²)/(1-x)³. A257352

Number of partitions of n into 4 or more distinct parts. A347549

E.g.f. satisfies A(x) = exp( x/(1 - x·A(x))² ). A161635

a(1) = 4; a(n) = smallest composite number of the form k·a(n-1) + 1. A61766

a(n) = n³ + 4·n² - 5·n + 1. A241577

Number of partitions of n such that the (sum of distinct odd parts) < n/2. A284612

Coefficients in the expansion of ∏_m>=1 (1 - q^13·m)/(1 - q^m). A341714

Partitions into non-integral powers (see Comments for precise definition). A234

Numerators of continued fraction convergents to sqrt(609). A42168