Properties of the Number 42241

Forty-Two Thousand Two Hundred Forty-One

Basics

Value: 42240 → 42241 → 42242

Parity: odd

Prime: No

Previous Prime: 42239

Next Prime: 42257

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 53 × 797

Divisors: 1, 53, 797, 42241

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100000001

Octal: 122401

Duodecimal: 20541

Hexadecimal: a501

Square: 1784302081

Square Root: 205.526154053444

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 ways to partition n labeled elements into sets of sizes of at least 2 and order the sets. A32032

Number T(n,k) of endofunctions on [n] such that at least one preimage with cardinality >=k exists and a nonempty preimage of j implies that all i<=j have preimages with cardinality >=k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A245732

Pseudoprimes to base 5, written in base 5. A262102

Pseudoprimes to base 6, written in base 6. A262103

G.f.: A(x) = ∑_n>=0 xⁿ/(1 - 4ⁿ*x)ⁿ. A193199

Triangular array read by rows: T(n,k) is the number of ordered set partitions of {1,2,...,n} with exactly k singletons, n>=0, 0<=k<=n. A187784

a(1) = 2, a(n+1) is the largest squarefree number < 2·a(n). A76994

Composites in base 10 that remain composite in exactly three bases b, 2 <= b <= 10, expansions interpreted as decimal numbers. A256355

a(n) = ∑_{k=0..floor(n/2)} C(n-k,k)*C(n-k,k+1)/(n-k) * a(k), with a(0)=1. A118928

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 16. A31604