Properties of the Number 9765

Nine Thousand Seven Hundred Sixty-Five

Basics

Value: 9764 → 9765 → 9766

Parity: odd

Prime: No

Previous Prime: 9749

Next Prime: 9767

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 31

Divisors: 1, 3, 5, 7, 9, 15, 21, 31, 35, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100101

Octal: 23045

Duodecimal: 5799

Hexadecimal: 2625

Square: 95355225

Square Root: 98.81801455200362

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

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

a(n) = ∏_i=1..n (2ⁱ - 1). Also called 2-factorial numbers. A5329

a(1)=1, a(n) = n·a(floor(n/2)). A98844

Odd primitive abundant numbers. A6038

Array of q-factorial numbers n!_q, read by ascending antidiagonals. A69777

a(n) = ∏_d∣n σ(d) where σ = A000203. A206032

a(n) = n*(11·n + 3)/2. A254963

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

a(n) = n*(8·n-1). A139274

Number of ways to write n as an ordered sum of 6 primes. A340962

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