Properties of the Number 39929

Thirty-Nine Thousand Nine Hundred Twenty-Nine

Basics

Value: 39928 → 39929 → 39930

Parity: odd

Prime: Yes

Previous Prime: 39901

Next Prime: 39937

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 39929

Divisors: 1, 39929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101111111001

Octal: 115771

Duodecimal: 1B135

Hexadecimal: 9bf9

Square: 1594325041

Square Root: 199.82242116439286

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

Primes of form n² + 10000. A256838

Home primes whose homeliness is 5. A133964

Primes p such that (p²⁵⁶ + 1)/2 is prime. A341234

Indices where the cumulative sum of cos(2k+1)^2k+1 reaches a record high value. A389559

Number of partitions p of n such that (number of odd numbers in p) is a part of p. A241545

Smallest odd prime p such that A258367(p) = n, or 0 if no such p exists. A258368

Prime numbers p such that all prime factors of p+1 and p-1 are smaller than the cube root of p. A283791

Primes of the form F(i)³ + F(j)⁴, where F() are Fibonacci numbers. A46973

Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10. A287306

E.g.f. S(x) = Integral C(x) * C(S(x)) dx, such that C(x)² - S(x)² = 1, where S(x) = ∑_n>=0 a(n)*x^2·n+1/(2·n+1)!, with coefficients a(n) starting at n = 0. A322895