Properties of the Number 69993

Sixty-Nine Thousand Nine Hundred Ninety-Three

Basics

Value: 69992 → 69993 → 69994

Parity: odd

Prime: No

Previous Prime: 69991

Next Prime: 69997

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 11 × 101

Divisors: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000101101001

Octal: 210551

Duodecimal: 34609

Hexadecimal: 11169

Square: 4899020049

Square Root: 264.56190201916826

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

Indices k such that s_k(4) is a (probable) prime, where s_k(4) = 4·s_k-1(4) - s_k-2(4), k >= 2, s₀(4) = 1, s₁(4) = 5. A299100

a(n) = 7*(10ⁿ - 1). A86578

Denominators of continued fraction convergents to sqrt(51). A41087

Denominators of continued fraction convergents to sqrt(204). A41379

Denominators of continued fraction convergents to sqrt(816). A42575

y-values in the solution to x²-51·y²=1. A174855

a(n) = 2^2·n+1*∑_k=1..2·n binomial(2·n+1,k)*Bernoulli(k)/2^k. A69993

Numbers n such that the decimal digits of n are not present in k·n, k=2..9. A175637