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Properties of the Number 9565

Nine Thousand Five Hundred Sixty-Five

Basics

Value: 9564 → 9565 → 9566

Parity: odd

Prime: No

Previous Prime: 9551

Next Prime: 9587

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 1913

Divisors: 1, 5, 1913, 9565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10010101011101

Octal: 22535

Duodecimal: 5651

Hexadecimal: 255d

Square: 91489225

Square Root: 97.8008179924892

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) is the numerator of the probability that a particular one of the A335573(n+1) fixed polyominoes corresponding to the free polyomino with binary code A246521(n+1) appears as the image of a simple random walk on the square lattice. A368000
Number of partitions p of n such that (1/5)*max(p) is a part of p. A363068
Unimodal analog of Fibonacci numbers: a(n+1) = ∑k=0..floor(n/2) A071922(n-k,k). A72176
Triangle of coefficients of polynomials u(n,x) jointly generated with A210599; see the Formula section. A210598
Number of partitions of n having depth 3; see Comments. A237978
The number of tilings of 2 X n boards with squares of 2 colors and dominoes of 3 colors. A253265
Number of balanced numbers > 2n-1 and <= 2n. A78555
Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=4, I={0,2}. A79974
Triangle read by rows: T(n,k) is the number of ordered trees having n edges and k branches of length 2. A101307
Triangular array read by rows: row n shows the coefficients of the polynomial u(n) = c(0) + c(1)*x + ... + c(n)*xn which is the denominator of the n-th convergent of the continued fraction [k, k, k, ... ], where k = (x + 1)/(x + 2). A231775