Properties of the Number 4158

Four Thousand One Hundred Fifty-Eight

Basics

Value: 4157 → 4158 → 4159

Parity: even

Prime: No

Previous Prime: 4157

Next Prime: 4159

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 11

Divisors: 1, 2, 3, 6, 7, 9, 11, 14, 18, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000111110

Octal: 10076

Duodecimal: 24A6

Hexadecimal: 103e

Square: 17288964

Square Root: 64.48255578061404

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 n into distinct parts in which the number of parts divides n. A102627

Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x). A97030

Number of partitions of n in which each part, with the possible exception of the largest, occurs at least twice. A116931

3rd-order Patalan numbers (generalization of Catalan numbers). A25748

Coefficients of power series that satisfies A(x)³ - 9·x*A(x)⁴ = 1, A(0)=1. A78532

Stirling2 triangle with scaled diagonals (powers of 3). A75498

G.f. A(x) satisfies A057083(x·A(x)) = A(x) and so equals the ratio of the g.f.s of any two adjacent diagonals of triangle A097186. A97188

Numbers of the form p³*q·r*s where p, q, r, and s are distinct primes. A179670

Sum of largest parts (counted with multiplicity) of all partitions of n into odd parts. A92310

Indices n of Fibonacci numbers Fib(n) (A000045) that are divisible by n-1 and n+1. A225219