Properties of the Number 9645

Nine Thousand Six Hundred Forty-Five

Basics

Value: 9644 → 9645 → 9646

Parity: odd

Prime: No

Previous Prime: 9643

Next Prime: 9649

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 643

Divisors: 1, 3, 5, 15, 643, 1929, 3215, 9645

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010110101101

Octal: 22655

Duodecimal: 56B9

Hexadecimal: 25ad

Square: 93026025

Square Root: 98.2089608946149

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 partitions of n such that (greatest part) - (least part) = number of parts. A237832

Least positive integer k such that prime(k·n) - 1 = (prime(i·n)-1)*(prime(j·n)-1) for some integers 0 < i < j < k. A257938

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s. A295847

Triangle T(n,k) of number of chains of length k in partitions of an n-set ordered by refinement. A331955

Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s₂. A257795

Self-convolution of A004148 (the RNA secondary structure numbers) with itself. A89735

G.f. satisfies A(x) = 1 + x·A(x)⁴ + x²*A(x). A367048

Number of nondecreasing Dyck paths of semilength n and having no peaks at even level (n>=0). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing. A121485

Number of (1,0)-steps in all weighted lattice paths in L_n. A182887

Numbers that appear in both A278909 and A280967 but not in A280971. A280972