1586
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2604
- Proper Divisor Sum (Aliquot Sum)
- 1018
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 720
- Möbius Function
- -1
- Radical
- 1586
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 78
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2^(2*n+1) - binomial(2*n+1, n+1).at n=5A000346
- Number of genus 0 rooted maps with 6 faces and n vertices.at n=1A000502
- Numbers that are the sum of 4 positive 6th powers.at n=11A003360
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=30A004855
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=43A004856
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=24A005598
- a(n) = Sum_{k=0..5} binomial(n,k).at n=12A006261
- Generalized Lucas numbers.at n=10A006492
- Chvatal conjecture for radius of graph of maximal intersecting sets.at n=12A007008
- Coordination sequence T2 for Zeolite Code ERI.at n=29A008094
- Molien series for A_11.at n=25A008634
- Number of partitions of n into at most 11 parts.at n=25A008640
- Coordination sequence for Ni2In, Position Ni1 and In.at n=12A009941
- Coordination sequence for Ni2In, Position Ni2.at n=12A009942
- a(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=12A010003
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=15A010339
- a(n) = floor(n*(n-1)*(n-2)/17).at n=31A011899
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=36A011909
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=43A014670
- Coordination sequence T3 for Zeolite Code OSI.at n=26A016432