Properties of the Number 15100

Fifteen Thousand One Hundred

Basics

Value: 15099 → 15100 → 15101

Parity: even

Prime: No

Previous Prime: 15091

Next Prime: 15101

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ² × 151

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 151

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101011111100

Octal: 35374

Duodecimal: 88A4

Hexadecimal: 3afc

Square: 228010000

Square Root: 122.88205727444507

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

Numbers n such that 7ⁿ - 8 is prime. A217131

Number of ways to write n as an ordered sum of 10 nonzero triangular numbers. A340955

T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order. A222328

Non-palindromic numbers n such that n·reverse(n) is a square and n and reverse(n) do not have the same number of digits. A322835

a(n) = 2*(a(n-1)+a(n-2)+a(n-3))-a(n-4) for n >= 4, with initial terms 0, 1, 1, 0. A317975

Infinite square array, where row r >= 0 is the orbit of r under the map A380873: concatenate(sum of digits, product of digits). A380872

Number of stacked directed animals on the triangular lattice. A59714

Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 4. A210376

Dimension of BSym_n. A269628

a(0) = 1; a(n) = ∑_{k=0..floor((n-1)/3)} binomial(n-2·k-1,k) * a(k). A352042