Properties of the Number 42237

Forty-Two Thousand Two Hundred Thirty-Seven

Basics

Value: 42236 → 42237 → 42238

Parity: odd

Prime: No

Previous Prime: 42227

Next Prime: 42239

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 19 ²

Divisors: 1, 3, 9, 13, 19, 39, 57, 117, 171, 247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010011111101

Octal: 122375

Duodecimal: 20539

Hexadecimal: a4fd

Square: 1783964169

Square Root: 205.5164227014474

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

Expansion of x*(125 + 8028·x + 42237·x² + 42272·x³ + 8007·x⁴ + 132·x⁵ - x⁶) / (1 - x)⁸. A317981

Composite numbers for which A324644(n)/A324198(n) = 2 and σ(n) == 2 (mod 4). A371082

Concatenate n-th composite number with concatenation of its prime factors in ascending order. A245315

Record values in permutation A267107. A268394

Smallest positive integer whose smallest coprime divisor shift is n. A366219

Numbers k such that k = rad(k) * sopfr(k), where rad(k) is the squarefree kernel of k and sopfr(k) the integer log of k. A280935

Numbers of the form A000217(n)*A007494(n) that are divisible by 3. A295867

a(n) = ∑_{p in P} y(1)*y(2), where P is the set of partitions of n, and y(k) is the number of parts with multiplicity at least k in p. A316861

Numbers formed by concatenating n with the distinct prime factors of n, left to right, smallest factors to largest, with a(1) = 10. A367918

Consider coefficients U(m,L,k) defined by the identity ∑_k=1..L ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,L,k) * T^k that holds for all positive integers L,m,T. This sequence gives 4-column table read by rows, where the n-th row lists coefficients U(3,n,k) for k = 0, 1, 2, 3; n >= 1. A316387