Properties of the Number 24092

Twenty-Four Thousand Ninety-Two

Basics

Value: 24091 → 24092 → 24093

Parity: even

Prime: No

Previous Prime: 24091

Next Prime: 24097

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 19 × 317

Divisors: 1, 2, 4, 19, 38, 76, 317, 634, 1268, 6023

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111000011100

Octal: 57034

Duodecimal: 11B38

Hexadecimal: 5e1c

Square: 580424464

Square Root: 155.21597855890997

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists. A66529

Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1 + 2·x - x²)^{n + 1}*∑_{j >= 0} (j+1)ⁿ*(-2·x + x²)^j. A156901

T(n,k)=Number of nXk 0..1 arrays with no adjacent rows or columns having the same least squares slope fit to a straight line, with a single point array taken as having zero slope. A223154

Number of self-polar configurations of type (n₃). A98702

G.f.: ∑_n>=0 (n+1) * xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺². A326285

Number of Dyck paths of semilength n such that the maximal number of peaks per level equals six. A288747

Least k such that the least positive primitive root of prime(k) equals prime(n). A79060

Number of nX3 0..1 arrays with no adjacent rows or columns having the same least squares slope fit to a straight line, with a single point array taken as having zero slope. A223151

Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252186