Properties of the Number 3965

Three Thousand Nine Hundred Sixty-Five

Basics

Value: 3964 → 3965 → 3966

Parity: odd

Prime: No

Previous Prime: 3947

Next Prime: 3967

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 13 × 61

Divisors: 1, 5, 13, 61, 65, 305, 793, 3965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101111101

Octal: 7575

Duodecimal: 2365

Hexadecimal: f7d

Square: 15721225

Square Root: 62.96824596572466

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

Irregular triangle read by rows where T(n,k) is the number of labeled loop-graphs covering n vertices with k edges. A369199

Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 13 ways. A97102

a(n) = (2·n+5)*(2·n+1). A78371

Number of partitions of n in which the sequence of the sum of the same summands is increasing. A304428

a(n) = a(n-4) + a(n-5), with a(0)=1, a(1)=a(2)=a(3)=0, a(4)=1. A17827

T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal. A207208

Partial sums of round(n²/9). A177100

Discriminants of real quadratic fields of ERD-type with class groups of exponent 2 and discriminants of the form D = r²*k²+4k, k odd. A51992

Number of partitions of the set of odd numbers {1, 3, 5, ..., 4·n-1} into two subsets with equal sum. A156700

Number of partitions of n having no parts with multiplicity 5. A184640