Properties of the Number 36005

Thirty-Six Thousand Five

Basics

Value: 36004 → 36005 → 36006

Parity: odd

Prime: No

Previous Prime: 35999

Next Prime: 36007

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 19 × 379

Divisors: 1, 5, 19, 95, 379, 1895, 7201, 36005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010100101

Octal: 106245

Duodecimal: 18A05

Hexadecimal: 8ca5

Square: 1296360025

Square Root: 189.74983530954646

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

L.g.f.: ∑_n>=1 (x - x^2·n-1)^2·n-1 / (2·n-1). A293597

Take a <= b such that f(a)+f(b)=concatenation of a and b, where f(k)=k(k+3)/2 (A000096). Sequence gives values of b. A99149

Number of 6-element subsets of [n] whose sum is a triangular number. A320852

A generalized partition function. A2602

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * (2·A(x)^2·n - A(x)ⁿ). A244062

G.f.: A(x) = 1/(1 - x·A₀(x)) where A₀(x) = 1/(1 - 2x·A₁(x)^1/2) such that A_n-1(x) = 1/(1 - 2ⁿ*x*[A_n(x)]^1/2ⁿ) for n>=1 with A₀(x) equal to the g.f. of A137984. A137983

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 0), (1, 0, 1), (1, 1, -1)}. A148790

a(n) is the least positive k such that A000041(n) divides A000041(n+k), or 0 if no such k exists. A346696

Number of partitions of n into parts not of the form 25k, 25k+6 or 25k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 11 are greater than 1. A36005