Properties of the Number 69001

Sixty-Nine Thousand One

Basics

Value: 69000 → 69001 → 69002

Parity: odd

Prime: Yes

Previous Prime: 68993

Next Prime: 69011

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 69001

Divisors: 1, 69001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110110001001

Octal: 206611

Duodecimal: 33B21

Hexadecimal: 10d89

Square: 4761138001

Square Root: 262.68041419184647

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

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

Numbers whose least quadratic nonresidue (A020649) is 19. A25027

a(n) = (16/3)*(n+1)*n*(n-1) + 8·n² + 1. A212668

Primes which become emirps when rotated by 180 degrees on a digital clock display. A145750

Primes which become squares when the digits are rotated once to the right. A234925

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + ... + d₂*10 + d₁. Sequence lists the numbers n such that n' = ∑_i=1..k-1{∑_j=1..i{d_j*10^j-1}}', where n' is the arithmetic derivative of n (see example below). A244078

Primes of the form 1000·k + 1. A156655

Invertible primes p such that k·p - 1 and k·p + 1 is a twin prime pair; for k = 12. A317029

a(0) = 1; for n > 0, a(n) is the coefficient of x^a(n-1) in the expansion of ∏_k=0..n-1 (x^a(k) + 1 + 1/x^a(k)). A367736

Grundy value of a 3 X n rectangle in the game of Chomp. A69001