Properties of the Number 40632

Forty Thousand Six Hundred Thirty-Two

Basics

Value: 40631 → 40632 → 40633

Parity: even

Prime: No

Previous Prime: 40627

Next Prime: 40637

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1693

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1693, 3386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111010111000

Octal: 117270

Duodecimal: 1B620

Hexadecimal: 9eb8

Square: 1650959424

Square Root: 201.5738078223458

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

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200192

Walks of length n on the x-axis using steps {1,-1} and visiting no point more than twice. A212585

Number of binary palindromes of length 2n+1 having no (7/3)+ powers. A279611

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(2·k*x)*(BesselI(0,2·x) - BesselI(1,2·x))^k. A294498

Number of -5..5 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200189

Number of -n..n arrays x(0..6) of 7 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200196

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

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+1) * x·A(x) ) / A(x)ⁿ⁺¹ = 0 for n > 0. A393621

Continued fraction for sqrt(658). A40632