Properties of the Number 93280

Ninety-Three Thousand Two Hundred Eighty

Basics

Value: 93279 → 93280 → 93281

Parity: even

Prime: No

Previous Prime: 93263

Next Prime: 93281

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 11 × 53

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110001100000

Octal: 266140

Duodecimal: 45B94

Hexadecimal: 16c60

Square: 8701158400

Square Root: 305.4177467011372

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

4-dimensional analog of centered polygonal numbers: a(n) = n(n+1)*(n²+n+4)/12. A6007

a(n) = n*(3·n² - 5·n + 3). A226450

Number of set partitions of [n] with distinct block sizes and one of the block sizes is 3. A328155

Eight rooks and one berserker on a 3 X 3 chessboard. G.f.: (1 - 2·x²)/(1 - 4·x + x² + 2·x³). A180144

a(n) = n*(n + 1)*(17·n - 14)/6. A237617

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

Least k such that k*(Mersenne_prime(n)²) + 1 is prime. A98819

E.g.f.: S(x) = Series_Reversion( Integral 1/(1-x³)^1/3 dx ), where the constant of integration is zero. A258878

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) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 80. A93280