Properties of the Number 36946

Thirty-Six Thousand Nine Hundred Forty-Six

Basics

Value: 36945 → 36946 → 36947

Parity: even

Prime: No

Previous Prime: 36943

Next Prime: 36947

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 ² × 13 × 29

Divisors: 1, 2, 7, 13, 14, 26, 29, 49, 58, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000001010010

Octal: 110122

Duodecimal: 1946A

Hexadecimal: 9052

Square: 1365006916

Square Root: 192.21342304844373

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

12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10·n-7)/6. A7587

Numbers that are the sum of four third powers in exactly seven ways. A345151

G.f.: ∑_n>=0 (n+1)*(n+2)/2 * (x + xⁿ)ⁿ. A325998

Numbers m that minimize | k /(k- EulerPhi(k)) - golden ratio φ | when k runs over all the numbers with the same number of digits as m. A65758

Number of partitions satisfying cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5). A39893

T(n,k) = Number of n X k 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207453

Smallest n-digit prime containing only the digits 5 and 7, or 0 if no such prime exists. A36946