Properties of the Number 3666

Three Thousand Six Hundred Sixty-Six

Basics

Value: 3665 → 3666 → 3667

Parity: even

Prime: No

Previous Prime: 3659

Next Prime: 3671

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13 × 47

Divisors: 1, 2, 3, 6, 13, 26, 39, 47, 78, 94

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 111001010010

Octal: 7122

Duodecimal: 2156

Hexadecimal: e52

Square: 13439556

Square Root: 60.54750201288241

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 with all pairs of consecutive parts relatively prime. A328172

Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable. A18227

Number of totally strong integer partitions of n. A316496

Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x. A63948

Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion. A51003

a(n) = Frobenius number for 7 successive primes = F[p(n), p(n+1), p(n+2), p(n+3), p(n+4), p(n+5), p(n+6)]. A138993

T(n,k)=Number of nXk 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2. A277767

Numbers k such that numerator of Bernoulli(2·k) is divisible by 257, the tenth irregular prime. A92229

Partial sums of round(n²/11). A177116

Numbers in which 6 outnumbers all other digits together. A292736