Properties of the Number 41512

Forty-One Thousand Five Hundred Twelve

Basics

Value: 41511 → 41512 → 41513

Parity: even

Prime: No

Previous Prime: 41507

Next Prime: 41513

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5189

Divisors: 1, 2, 4, 8, 5189, 10378, 20756, 41512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001000101000

Octal: 121050

Duodecimal: 20034

Hexadecimal: a228

Square: 1723246144

Square Root: 203.74493858744074

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

Expansion of e.g.f. exp(C(x)² - 1) where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers, A000108. A250916

G.f.: exp( ∑_n>=1 A068963(n)*xⁿ/n ) where A068963(n) = ∑_d∣n φ(d³). A226106

Expansion of g.f. (3-4·x-sqrt(1-4·x²))/(2*(1-2·x)²). A182555

Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 + x·exp(x))⁴ ). A377630

Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of zero, with rows and columns of the latter in lexicographically nondecreasing order. A227121

Number of nX4 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero. A297819

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T4 atom. A19080

Numbers k such that k + (sum of digits of k) and k + (product of digits of k) contain the same distinct digits of k. A248718

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero. A297823

Numerators of continued fraction convergents to sqrt(273). A41512