Properties of the Number 41972

Forty-One Thousand Nine Hundred Seventy-Two

Basics

Value: 41971 → 41972 → 41973

Parity: even

Prime: No

Previous Prime: 41969

Next Prime: 41981

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1499

Divisors: 1, 2, 4, 7, 14, 28, 1499, 2998, 5996, 10493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001111110100

Octal: 121764

Duodecimal: 20358

Hexadecimal: a3f4

Square: 1761648784

Square Root: 204.87069092478797

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 ∑_i>=1 i·xⁱ/(1 - x) * ∏_j=1..i 1/(1 - x^j). A284870

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-1), where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A296288

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = (primes). A25117

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = (primes). A24603

Words of length n over the alphabet {0,...,n-1} that are 1342-avoiding. A239298

Words of length n over the alphabet {0,...,n-1} that avoid the pattern 1423. A239379

Numerators of continued fraction convergents to sqrt(509). A41972

Number of (n+1) X (6+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250781