Properties of the Number 22041

Twenty-Two Thousand Forty-One

Basics

Value: 22040 → 22041 → 22042

Parity: odd

Prime: No

Previous Prime: 22039

Next Prime: 22051

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 79

Divisors: 1, 3, 9, 31, 79, 93, 237, 279, 711, 2449

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011000011001

Octal: 53031

Duodecimal: 10909

Hexadecimal: 5619

Square: 485805681

Square Root: 148.46211637990345

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 series-reduced balanced rooted trees whose leaves form an integer partition of n. A320160

G.f. satisfies A(x) = 1 + x·A(x) + x²*A(x)⁶. A364472

Number of partitions of n such that the set of parts has an even number of elements. A92306

Sum of proper divisors of the number of partitions of n. A139055

Squares written in base 5. A1740

a(n) = n² + 731·n + 1. A180919

a(n) is the number of 2 X 2 matrices with entries in {1, ..., n} that are not the product of two 2 X 2 positive integer matrices. A260550

a(n-5) is the number of nonempty subsets of {1,2,...,n} such that the difference of successive elements is at least 5. A330910

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1110-0111 pattern in any orientation. A146470

a(n) = 3·a(n-1)+a(n-2)-a(n-3)+a(n-6)-a(n-7)+a(n-10)-a(n-11). A22041