Properties of the Number 71900

Seventy-One Thousand Nine Hundred

Basics

Value: 71899 → 71900 → 71901

Parity: even

Prime: No

Previous Prime: 71899

Next Prime: 71909

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 ² × 719

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 719

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100011011100

Octal: 214334

Duodecimal: 35738

Hexadecimal: 118dc

Square: 5169610000

Square Root: 268.1417535558384

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

n·10⁴-1, n·10⁴-3, n·10⁴-7 and n·10⁴-9 are all prime. A64978

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, -1), (0, 1, -1), (1, 0, 1), (1, 1, 1)}. A150941

G.f.: A(x) satisfies: [xⁿ] A(x)^n²-2·n+2 = 0 for n>=2. A185072

1/4 times the number of n X n 0..7 matrices with MM' mod 8 = I, where M' is the transpose of M and I is the n X n identity matrix. A71900

G.f. A(x) satisfies: [x^n-1] 1/A(x)^n² = 0 for n>2. A292877

a(n) = [xⁿ] G_n+1(x) where G_n(x) = F(x·G_n(x)ⁿ) and F(x) = g.f. of A185072 such that [xⁿ] G_n(x) = 0. A185082