Properties of the Number 10364

Ten Thousand Three Hundred Sixty-Four

Basics

Value: 10363 → 10364 → 10365

Parity: even

Prime: No

Previous Prime: 10357

Next Prime: 10369

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 2591

Divisors: 1, 2, 4, 2591, 5182, 10364

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001111100

Octal: 24174

Duodecimal: 5BB8

Hexadecimal: 287c

Square: 107412496

Square Root: 101.8037327409953

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

McKay-Thompson series of class 9B for the Monster group. A58091

Numbers k such that 4·k! + 1 is prime. A76680

The sum over all bitstrings b of length n with at least two runs of the number of runs in b not immediately followed by a longer run. A208903

Number of partitions p of n such that the number of parts having multiplicity 1 is a part or max(p) - min(p) is a part. A241451

Expansion of ((1-x)/(1-2x))⁸. A169795

Indices of record values in A246785. A246790

Triangle read by rows: T(n,k) = number of Schroeder (or royal) n-paths (A006318) containing k returns to the diagonal y=x. (A northeast step lying on y=x contributes a return.) A108891

a(n) = floor(47*(n-3/2)^3/2). A50256

Number of connected 3-multigraphs on n nodes. A53466

G.f.: ((1-q)²+(1+q)*sqrt(1-6·q+q²))/2. A177010