Properties of the Number 41958

Forty-One Thousand Nine Hundred Fifty-Eight

Basics

Value: 41957 → 41958 → 41959

Parity: even

Prime: No

Previous Prime: 41957

Next Prime: 41959

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 7 × 37

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001111100110

Octal: 121746

Duodecimal: 20346

Hexadecimal: a3e6

Square: 1760473764

Square Root: 204.83652018133876

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

Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives numbers belonging to cycles, including fixed points. A165017

Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives numbers belonging to cycles of length greater than 1. A165019

Smallest member of cycle corresponding to n-th term of A165029. A165030

Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives least elements of each cycle, including fixed points. A165021

Consider the base-4 Kaprekar map n->K(n) defined in A165012. Sequence gives least elements of each cycle of length > 1. A165023

G.f. satisfies A(x) = 1+x + x²*A(x)⁶. A137966

Consider the base-4 Kaprekar map x->K(x) described in A165012. Sequence gives the smallest number that belongs to a cycle of length n under repeated iteration of this map, or -1 if there is no cycle of length n. A165028

Triangle read by rows: coefficients in expansion of Asveld's polynomials p_j(x). A341725

Partial sums of second pentagonal numbers with even index (A049453). A51895

Column 1 of A341725. A341728