Properties of the Number 10564

Ten Thousand Five Hundred Sixty-Four

Basics

Value: 10563 → 10564 → 10565

Parity: even

Prime: No

Previous Prime: 10559

Next Prime: 10567

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 19 × 139

Divisors: 1, 2, 4, 19, 38, 76, 139, 278, 556, 2641

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101000100

Octal: 24504

Duodecimal: 6144

Hexadecimal: 2944

Square: 111598096

Square Root: 102.78132126023678

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 arrangements of n+2 nonzero numbers x(i) in -k..k with the sum of x(i)*x(i+1) equal to zero. A188249

Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495

An Ulam-type sequence: a(n) = n if n<=10; for n>10, a(n) = least number > a(n-1) which is a unique sum of 10 distinct earlier terms. A183533

Number of compositions (ordered partitions) of n into 1's, 3's and 5's. A60961

Number of n-dimensional partitions of 5. A8779

Consider primitive pairs of integers (b, c) with b > 0 such that x⁵ + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of b. A371553

p-INVERT of the upper Wythoff sequence (A001950), where p(S) = 1 - S - S². A289926

Positions of the incrementally largest terms in the continued fraction expansion of ζ(3). A229055

Number of n X 2 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1s. A296329

a(n) = 5·n² + 20·n + 4. A134547