Properties of the Number 3936

Three Thousand Nine Hundred Thirty-Six

Basics

Value: 3935 → 3936 → 3937

Parity: even

Prime: No

Previous Prime: 3931

Next Prime: 3943

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101100000

Octal: 7540

Duodecimal: 2340

Hexadecimal: f60

Square: 15492096

Square Root: 62.73754856543249

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 T(n,k) of collections of nonempty multisets with a total of n objects of exactly k colors; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A255903

E.g.f. satisfies A(x) = exp(x·A(x)) * cosh(x·A(x)). A201595

Number of permutations p of {1,...,n} such that at most one element of {p(1),...,p(i-1)} is between p(i) and p(i+1) for all i from 1 to n-1. A216837

Number of partitions of n into distinct parts, none being 2. A15744

Numbers k such that σ(x) = k has exactly 5 solutions. A60661

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

Products of the 5th power of a prime and 2 distinct primes (p⁵*q·r). A179667

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231108

Record (maximal) gaps between prime triples (p, p+2, p+6). A201598

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo k+1. A269678