Properties of the Number 40921

Forty Thousand Nine Hundred Twenty-One

Basics

Value: 40920 → 40921 → 40922

Parity: odd

Prime: No

Previous Prime: 40903

Next Prime: 40927

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 151 × 271

Divisors: 1, 151, 271, 40921

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111111011001

Octal: 117731

Duodecimal: 1B821

Hexadecimal: 9fd9

Square: 1674528241

Square Root: 202.28939665736314

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

Number of 2's in the last section of the set of partitions of n. A182712

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

a(n) = 1 + (6 + (11 + (6 + n)*n)*n)*n/24. A145126

For a given unrestricted partition π, let P(π)=λ(π), if μ(π)=0. If μ(π)>0 then let P(π)=ν(π), where ν(π) is the number of parts of π greater than μ(π), μ(π) is the number of ones in π and λ(π) is the largest part of π. A100818

Number of partitions p of n such that floor(mean(p)) and ceiling(mean(p)) are parts of p. A241340

Expansion of (1+x)/(1-x²-3·x⁵). A238391

Number of 2's in all partitions of 2n that do not contain 1 as a part. A182716

Continued fraction for sqrt(952). A40921

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4. A196295

Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4. A252061