Properties of the Number 9947

Nine Thousand Nine Hundred Forty-Seven

Basics

Value: 9946 → 9947 → 9948

Parity: odd

Prime: No

Previous Prime: 9941

Next Prime: 9949

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 ³ × 29

Divisors: 1, 7, 29, 49, 203, 343, 1421, 9947

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011011011

Octal: 23333

Duodecimal: 590B

Hexadecimal: 26db

Square: 98942809

Square Root: 99.73464794142505

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

Numbers k such that k | 13^k + 1. A15963

Numbers m such that there are precisely 17 groups of order m. A294949

Numbers k such that k | 6^k + 1. A15953

Numbers n such that sopf(φ(n)) = φ(sopf(n)), where sopf(x) = sum of the distinct prime factors of x. A76531

Smallest number m larger than prime(n) such that prime(n) = sum of digits of m and prime(n) = largest prime factor of m (or 0 if no such number exists). A52022

Numbers k such that σ(k) divides σ(φ(k)). A66831

Numbers n such that σ(φ(n))/σ(n) = 2. A67382

a(n) = n*(25·n - 39)/2. A263231

Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention. A389918

Number of non-squashing partitions of {1,...,n}. A115626