Properties of the Number 86310

Eighty-Six Thousand Three Hundred Ten

Basics

Value: 86309 → 86310 → 86311

Parity: even

Prime: No

Previous Prime: 86297

Next Prime: 86311

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 7 × 137

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101000100100110

Octal: 250446

Duodecimal: 41B46

Hexadecimal: 15126

Square: 7449416100

Square Root: 293.7856361362822

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 1/(1 - 3·x*C(x)), where C(x) = (1 - sqrt(1 - 4·x))/(2·x) = g.f. for the Catalan numbers A000108. A7854

a(n) = (4·n³ + n² - 3·n)/2. A172073

Expansion of ∏_k>=1 (1 + k³*x^k). A265840

Riordan array (1/(1-3x·c(x)),xc(x)), c(x) the g.f. of A000108. A117375

Sum of cubes of nonprime divisors of n. A279290

Numbers k such that φ(m) = 96·k+2 has no solution. A71624

Triangle read by rows: T(n,0) = 3ⁿ, T(n,k) = T(n,k-1) + T(n-1,k) for 0 < k < n, and T(n,n) = T(n,n-1). A165992

Expansion of g.f. A(x) satisfying A(x)³ = A( x·A(x)²/(1 - A(x)) ). A372531

Decimal expansion of constant appearing in the expected number of comparisons for an unsuccessful digital tree search (negated). A86310

Number of (n+2)X(3+2) 0..1 arrays with each row and column divisible by 7, read as a binary number with top and left being the most significant bits. A262315