Properties of the Number 3042

Three Thousand Forty-Two

Basics

Value: 3041 → 3042 → 3043

Parity: even

Prime: No

Previous Prime: 3041

Next Prime: 3049

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 ²

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111100010

Octal: 5742

Duodecimal: 1916

Hexadecimal: be2

Square: 9253764

Square Root: 55.154328932550705

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

a(n) = 2·n². A1105

Number of integer partitions of n without all distinct multiplicities. A336866

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.6.3.6 2D tiling (cf. A008579). A299256

Bisection of A001400. A14125

Heinz numbers of perfect integer partitions. A325780

Indices k such that A020509(k)=φ[k](-10) is prime, where φ is a cyclotomic polynomial. A138920

Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals. A77591

Number of maximal subsets of {1..n} such that every orderless pair of distinct elements has a different sum. A325878

Triangle read by rows: T(m,n) = ∑_{-m<i<m, -n<j<n, gcd{i,j}=1} (m-|i|)*(n-|j|), m >= n >= 1. A332350

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7. A135192