Properties of the Number 10362

Ten Thousand Three Hundred Sixty-Two

Basics

Value: 10361 → 10362 → 10363

Parity: even

Prime: No

Previous Prime: 10357

Next Prime: 10369

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 157

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 157, 314

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001111010

Octal: 24172

Duodecimal: 5BB6

Hexadecimal: 287a

Square: 107371044

Square Root: 101.79390944452423

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..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors. A238026

Number of integer partitions (of any nonnegative integer) whose sum minus the lesser of their maximum part and their number of parts is n. A325232

Numbers k such that 4^k + 3 is prime. A89437

McKay-Thompson series of class 19A for Monster. A58549

E.g.f. satisfies: A(x) = exp(2·x*exp(x·A(x))). A161566

Number of character table entries of the symmetric group S_n which are > 0. A51749

Numbers of the form k*(k³ +- 1)/2. A57590

a(n) = n*(19·n + 1)/2. A22277

a(n) = n*(n³ - 1)/2. A27482

Numbers n such that (σ(n-2)+σ(n+2))/2 = σ(n). A99631