Properties of the Number 36966

Thirty-Six Thousand Nine Hundred Sixty-Six

Basics

Value: 36965 → 36966 → 36967

Parity: even

Prime: No

Previous Prime: 36947

Next Prime: 36973

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 61 × 101

Divisors: 1, 2, 3, 6, 61, 101, 122, 183, 202, 303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001000001100110

Octal: 110146

Duodecimal: 19486

Hexadecimal: 9066

Square: 1366485156

Square Root: 192.26544151250894

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

Poly-Cauchy numbers of the second kind hat c_n^-3. A223901

Array read by ascending antidiagonals: A(n, k) is the number of (n, k)-poly-Cauchy permutations. A344639

p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 4 S + S². A291416

Numbers k such that k·2^k+(k-1) is prime. A46849

Number of functions f:{1,2,...,n}->{1,2,...,n} such that every non-recurrent element has at most one preimage. A212559

Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. ∑_j>=0 (j+1)^k * (-log(1-x))^j / j!. A383064

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Number of nX7 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors. A208313