Properties of the Number 42500

Forty-Two Thousand Five Hundred

Basics

Value: 42499 → 42500 → 42501

Parity: even

Prime: No

Previous Prime: 42499

Next Prime: 42509

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 ⁴ × 17

Divisors: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011000000100

Octal: 123004

Duodecimal: 20718

Hexadecimal: a604

Square: 1806250000

Square Root: 206.15528128088303

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

Number of paths of length n starting at initial node of the path graph P₉. A178381

Expansion of bracket function. A750

Row sums of Riordan array ((1-3x+x²)/(1-4x+3x²), x(1-2x)/(1-4x+3x²)). A147748

a(n) = ∑_k>=0 (-1)^k*binomial(n,5·k+4). A289389

a(n) = ∑_{0 < x,y,z <= n and gcd(x² + y² + z², n)=1} gcd(x² + y² + z² - 1, n). A239612

a(n) = (1/sqrt(5))*((sqrt(5) + 1)*((15 + 5·sqrt(5))/2)^n-1 + (sqrt(5) - 1)*((15 - 5·sqrt(5))/2)^n-1). A109106

The common value of sigma₂ for square-amicable numbers, sigma₂(m)=sigma₂(n), m<n. A110929

Numbers that are the sum of 2 nonzero squares in exactly 5 ways. A25288

Numbers that are the sum of 2 distinct nonzero squares in exactly 5 ways. A25306

Denominators of Van der Pol numbers. A3163