Properties of the Number 40051

Forty Thousand Fifty-One

Basics

Value: 40050 → 40051 → 40052

Parity: odd

Prime: No

Previous Prime: 40039

Next Prime: 40063

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 11 ² × 331

Divisors: 1, 11, 121, 331, 3641, 40051

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110001110011

Octal: 116163

Duodecimal: 1B217

Hexadecimal: 9c73

Square: 1604082601

Square Root: 200.12745938526277

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

a(n) = 5·F(n)² + 5·F(n) + 1, where F(n) = Fibonacci(n). A124297

Odd-indexed terms of A124297. A1604

a(0)=1, a(1)=1, a(n) = 11·a(n/2) for even n, and a(n) = 10·a((n-1)/2) + a((n+1)/2) for odd n >= 3. A116525

Number of strict partitions of 2n + 1 having 1 more even part than odd, so that there is at least one ordering of the parts in which the even and odd parts alternate, and the first and last terms are even. A239873

a(n) = floor(5·prime(n)² / 4). A246010

a(n)=M(n,3)/M(n,1)³ (see comment). A96349

a(n) = (n+1)²*(n+2)*(5·n² + 15·n + 12)/24. A108676

Parity of partition function A000041. A40051