Properties of the Number 47969

Forty-Seven Thousand Nine Hundred Sixty-Nine

Basics

Value: 47968 → 47969 → 47970

Parity: odd

Prime: Yes

Previous Prime: 47963

Next Prime: 47977

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 47969

Divisors: 1, 47969

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101101100001

Octal: 135541

Duodecimal: 23915

Hexadecimal: bb61

Square: 2301024961

Square Root: 219.01826407859232

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 the form n³ + n² + 17, for nonnegative values of n. A50266

Numerators of upper primes-only best approximates (POBAs) to π; see Comments. A265810

Primes with digit sum = 35. A106770

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845

Primes of the form n²+8. A138338

Primes whose base-6 representation is a square when read in base 10. A267820

a(n) = 3·a(n-1) + A001651(n+1). A141397

Primes p of the form penta(n)-3, where penta(n) is the n-th pentagonal number. A232537

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), (-1, 0, 0), (-1, 1, 1), (1, -1, 1), (1, 1, 0)}. A149309

Numbers k such that 10^k + prime(k) is prime. A256451