Properties of the Number 15614

Fifteen Thousand Six Hundred Fourteen

Basics

Value: 15613 → 15614 → 15615

Parity: even

Prime: No

Previous Prime: 15607

Next Prime: 15619

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 37 × 211

Divisors: 1, 2, 37, 74, 211, 422, 7807, 15614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011111110

Octal: 36376

Duodecimal: 9052

Hexadecimal: 3cfe

Square: 243796996

Square Root: 124.95599225327291

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

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238555

a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres. A46127

G.f.: (1 + x⁴ + x⁵ + x⁶ + x¹⁰ + x¹¹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A256975

a(n) = (1/3!)*(n³ + 24·n² + 107·n + 90), compare A059604. A59605

Indices of primes in A026007. A285223

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202970; by antidiagonals. A202971

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units without partitioning a triangle into 3 element sets of trapezoids. A391452

a(n) is the length of longest subsequence common to both the n-th Thue-Morse word and its bitwise complement. A297618

Expansion of ∏_j>=1 (1 + x^j*∏_k>=1 (1 + x^k)^j). A307569

a(n) is the number of distinct five-cuboid combinations that fill an n X n X n cube with cuboids of different volumes. A387040