Properties of the Number 41937

Forty-One Thousand Nine Hundred Thirty-Seven

Basics

Value: 41936 → 41937 → 41938

Parity: odd

Prime: No

Previous Prime: 41927

Next Prime: 41941

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 1997

Divisors: 1, 3, 7, 21, 1997, 5991, 13979, 41937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001111010001

Octal: 121721

Duodecimal: 20329

Hexadecimal: a3d1

Square: 1758711969

Square Root: 204.78525337533463

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

Diagonal sums of triangle A188463. A188464

G.f. A(x) satisfies: A(x) = ∏_k>=1 (1 - x^k*A(x)^k)^k. A301624

G.f.: (21 + 101·x + 97·x² + 22·x³ + x⁴)/(1 - x)⁵. A160769

Number of length 4+3 0..n arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms. A249710

Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having least column-height k (n>=2, k>=1). A274488

Number of occurrences of k in the list of transitions t(j), j <= n!-1, of interchanges a(t(j)) <-> a(t(j)+1) created by Knuth's "Algorithm T" (Plain change transitions) to generate all permutations of n distinct elements, written as a triangle T(m,k), m = n-1 >= 1, k <= m. A321668

Sum of the prime(n) primes following prime(n). A99274

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 0), (1, -1, 0), (1, 1, 0)}. A149528

T(n,k)=Number of length n+3 0..k arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms. A249707

Denominators of continued fraction convergents to sqrt(491). A41937