Properties of the Number 10366

Ten Thousand Three Hundred Sixty-Six

Basics

Value: 10365 → 10366 → 10367

Parity: even

Prime: No

Previous Prime: 10357

Next Prime: 10369

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 71 × 73

Divisors: 1, 2, 71, 73, 142, 146, 5183, 10366

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001111110

Octal: 24176

Duodecimal: 5BBA

Hexadecimal: 287e

Square: 107453956

Square Root: 101.81355508968342

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

Coordination sequence for "reo" 3D uniform tiling. A299279

Numbers whose multiset multisystem (A302242) is crossing. A324170

Number T(n,k) of entries in the k-th cycles of all permutations of [n] when cycles are ordered by decreasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A322384

Numbers k such that 6·k+5, 6·k+11, 6·k+17, 6·k+23 are consecutive primes. A90836

Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes. A90833

T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors. A208201

Numbers of the form 2·p*q where (p,q) is a twin prime pair. A71142

Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if -1<=i-j<=1 else m(i,j)=1. A80018

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n is neither a prime, nor a true power of prime and n is squarefree. Squarefree solutions of A071140. A71141