Properties of the Number 36096

Thirty-Six Thousand Ninety-Six

Basics

Value: 36095 → 36096 → 36097

Parity: even

Prime: No

Previous Prime: 36083

Next Prime: 36097

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 47

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100000000

Octal: 106400

Duodecimal: 18A80

Hexadecimal: 8d00

Square: 1302921216

Square Root: 189.98947339260667

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

The EG1 triangle. A162005

Composites whose prime factorization in base 5 is an anagram of the number in base 5. A260049

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square grid such that the picked positions don't have any symmetry. A292152

Sum of the fourth largest parts in the partitions of n into 8 parts. A308995

Third left hand column of the EG1 triangle A162005. A162007

Third right hand column of the EG1 triangle A162005. A162008

Numbers of the form p⁸*q·r where p, q, and r are distinct primes. A179747

E.g.f.: S(x,k) = Integral C(x,k)*D(x,k)² dx, such that C(x,k)² - S(x,k)² = 1, and D(x,k)² - k²*S(x,k)² = 1, as a triangle of coefficients read by rows. A322230

E.g.f.: S(x,k) = -i·sn( i·Integral C(x,k) dx, k) such that C(x,k) = cn( i·Integral C(x,k) dx, k), where S(x,k) = ∑_n>=0 ∑_j=0..n T(n,j) * x^2·n+1*k^2·j/(2·n+1)!, as a triangle of coefficients T(n,j) read by rows. A325220

Ordered factorizations over hook-type prime signatures with exactly three distinct primes (third column of A098348). A98385