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Properties of the Number 10065

Ten Thousand Sixty-Five

Basics

Value: 10064 → 10065 → 10066

Parity: odd

Prime: No

Previous Prime: 10061

Next Prime: 10067

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 61

Divisors: 1, 3, 5, 11, 15, 33, 55, 61, 165, 183

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101010001

Octal: 23521

Duodecimal: 59A9

Hexadecimal: 2751

Square: 101304225

Square Root: 100.32447358446493

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 integer partitions of n whose product of parts is >= n. A319005
Numbers k such that k2 divides 16k-1. A128396
21-gonal numbers: a(n) = n*(19n - 17)/2. A51873
Number of integer partitions of n such that (length) * (maximum) >= 2·n. A361906
Number of integer compositions of n whose maximal runs of k's all have length > k, for all k. A389511
Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) has height 5. A152943
a(n) is the smallest positive integer k such that 3n+2 divides 3n+k+2. A298827
Squarefree numbers k such that k2 is abundant, and d2 is nonabundant for any proper divisor d of k. A381741
Imbalance of the number of partitions of n. A194795
Number of (w,x,y,z) with all terms in {0,...,n} and at least one of them is the range of {w,x,y,z}. A212746