Properties of the Number 40559

Forty Thousand Five Hundred Fifty-Nine

Basics

Value: 40558 → 40559 → 40560

Parity: odd

Prime: Yes

Previous Prime: 40543

Next Prime: 40577

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 40559

Divisors: 1, 40559

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111001101111

Octal: 117157

Duodecimal: 1B57B

Hexadecimal: 9e6f

Square: 1645032481

Square Root: 201.3926513058508

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 partitions of n into a prime number of parts. A38499

Primes for which the period of the reciprocal equals (p-1)/14. A135073

Number of partitions in all twice partitions of n where the second partition is strict. A327554

O.g.f. satisfies: A(x) = ∑_n>=0 (n+1)^n-1 * (n·x)ⁿ * A(n·x)ⁿ/n! * exp(-(n+1)*n·x*A(n·x)). A218102

a(n) = 60·n² - 1. A158670

Primes p such that 16·p² + 10·p + 1 divides 2^p - 1. A231916

Number of partitions of n into colored blocks of equal parts, such that all colors from a set of size two are used and the colors are introduced in increasing order. A327285

Row sums of triangle A132057 (s2(8)). A132058

Primes p such that p⁴ + p +/- 1 are twin primes. A236951

Primes having only {0, 4, 5, 9} as digits. A386071