Properties of the Number 42210

Forty-Two Thousand Two Hundred Ten

Basics

Value: 42209 → 42210 → 42211

Parity: even

Prime: No

Previous Prime: 42209

Next Prime: 42221

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 7 × 67

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010011100010

Octal: 122342

Duodecimal: 20516

Hexadecimal: a4e2

Square: 1781684100

Square Root: 205.45072401916718

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

Sum over all partitions of n of the GCD of the number of parts and the number of distinct parts. A339312

Numbers n such that d(n + d(n)) = d(n), where d(n) is the sum of the distinct primes dividing n. A175760

Number of minimal dominating sets in the n-Andrásfai graph. A286879

G.f. A(x) satisfies A(x) = 1 + x/A(-x·A(x)²)³. A384897

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384897. A384902

Primitive terms of A023197 that are of the form 4u+2. A388020

n written efficiently in natural numbers base, i.e., in form ...wxyz where n =1·z + 2·y + 3·x + 4·w + ... with z < 1, y < 2, x < 3, w < 4, ... A55992

Triangle T(n, k) = 1 if k = 0 or k = n, otherwise n⁵ - k⁵ - (n-k)⁵, read by rows. A157634

Triangle read by rows: coefficients ψ(n,k) arising from the study of completely transitive graphs on n nodes. A259972

(Sum of digits of n)⁵ - (sum of digits⁵ of n). A69965