Properties of the Number 15004

Fifteen Thousand Four

Basics

Value: 15003 → 15004 → 15005

Parity: even

Prime: No

Previous Prime: 14983

Next Prime: 15013

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11 ² × 31

Divisors: 1, 2, 4, 11, 22, 31, 44, 62, 121, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101010011100

Octal: 35234

Duodecimal: 8824

Hexadecimal: 3a9c

Square: 225120016

Square Root: 122.49081598226049

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

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Greatest positive integer whose reversed (weakly decreasing) prime indices have weighted sum (A318283) equal to n. A359683

Sum of terms of n-th group in A075383. A75386

Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts. A15724

G.f.: ∏_n>=1 (1 - Lucas(n)*xⁿ + (-1)ⁿ*x^2·n)³ where Lucas(n) = A000204(n). A203861

The convergent sequence C_n for the ternary continued fraction (3,1;2,2) of period 2. A964

a(n) = (3·n+1)*(3·n+4). A85001

[s(k)-s(j)]/5, where the pairs (k,j) are given by A205852 and A205853, and s(k) denotes the (k+1)-st Fibonacci number. A205855

G.f.: (1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))) * (1 + x/(1 + x²/(1 + x³/(1 + x⁴/(1 + ...))))), a continued fraction. A285638

a(n) = (2 cos(π/15))ⁿ + (2 cos(7 π/15))ⁿ + (2 cos(11 π/15))ⁿ + (2 cos(13 π/15))ⁿ. A306603