Properties of the Number 41945

Forty-One Thousand Nine Hundred Forty-Five

Basics

Value: 41944 → 41945 → 41946

Parity: odd

Prime: No

Previous Prime: 41941

Next Prime: 41947

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 8389

Divisors: 1, 5, 8389, 41945

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001111011001

Octal: 121731

Duodecimal: 20335

Hexadecimal: a3d9

Square: 1759383025

Square Root: 204.80478510034868

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 partitions of 2n with all subsums different from n. A6827

Triangle read by rows: T(n,k) is the number of inequivalent colorings of lone-child-avoiding rooted trees with n colored leaves using exactly k colors. A339645

Irregular triangle read by rows where T(n,k) is the number of uniform multiset partitions of a multiset with d = A027750(n,k) copies of each integer from 1 to n/d. A322788

Reciprocal of g.f. for A007863. A11365

a(n) = n! * ∑_k=1..n ∑_d∣k (-1)^d+1/(d * (k/d)!). A356401

Number of subsets of {1,2,3,...,n} that sum to 0 mod 25. A68043

Number of n X 4 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223773

Numbers n such that (23·10ⁿ - 26)/6 is prime. A253968

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 779", based on the 5-celled von Neumann neighborhood. A273540

a(n) = ∑_j=1..n ∑_k=1..n φ(2·j*k) / φ(k). A372664