Properties of the Number 69816

Sixty-Nine Thousand Eight Hundred Sixteen

Basics

Value: 69815 → 69816 → 69817

Parity: even

Prime: No

Previous Prime: 69809

Next Prime: 69821

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2909

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2909, 5818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000010111000

Octal: 210270

Duodecimal: 344A0

Hexadecimal: 110b8

Square: 4874273856

Square Root: 264.227174983952

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

Expansion of ∏_k>=1 (1 - 3·x^k)/(1 + 3·x^k). A303398

E.g.f.: S(x,q) = Integral C(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where S(x,q) = ∑_n>=0 ∑_{k=0..n*(n+1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322219

a(n) = (sum of digits of n)² - (sum of digits² of n). A69816

E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where C(x,q) = ∑_n>=0 ∑_{k=0..n*(n-1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322218