Properties of the Number 36948

Thirty-Six Thousand Nine Hundred Forty-Eight

Basics

Value: 36947 → 36948 → 36949

Parity: even

Prime: No

Previous Prime: 36947

Next Prime: 36973

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3079

Divisors: 1, 2, 3, 4, 6, 12, 3079, 6158, 9237, 12316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000001010100

Octal: 110124

Duodecimal: 19470

Hexadecimal: 9054

Square: 1365154704

Square Root: 192.21862552832906

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

G.f. satisfies: A(x - A(x)²) = x + 5·A(x)². A277304

Number of partitions of n in which each even part has odd multiplicity. A130126

A triangular array related to A077028 and distributing the values of A007582. A110552

Number of 4-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187587

Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253431

Number of (4+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253438

Omit the initial 1 from A000141 and take the Mobius transform. A190622

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253435

Smallest n-digit prime containing only the digits 6 and 7, or 0 if no such prime exists. A36948