10586
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16320
- Proper Divisor Sum (Aliquot Sum)
- 5734
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5148
- Möbius Function
- -1
- Radical
- 10586
- 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
- 55
- 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) = 6*n^2 + 2 for n > 0, a(0)=1.at n=42A005897
- Engel expansion of Pi.at n=11A006784
- a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=21A010014
- a(n) = (10*n^3 - 9*n^2 + 2*n)/3 + 1.at n=15A034721
- Gaps of 2 in sequence A038593 (upper terms).at n=14A038644
- Numbers ending with '6' that are the difference of two positive cubes.at n=37A038861
- Denominators of continued fraction convergents to sqrt(993).at n=8A042923
- Numbers whose base-2 representation has exactly 12 runs.at n=30A043579
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=25A045104
- The minimal number which has multiplicative persistence 8 in base n.at n=17A064872
- a(1)=a(2)=1; a(n)=reverse(reverse(a(n-1))+reverse(a(n-2))) for n > 2.at n=26A072210
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=32A086120
- a(n) = 4 + 8*n + 10*n^2 + 4*n^3.at n=13A100207
- Difference between successive primes cubed: a(n) = prime(n+1)^3 - prime(n)^3.at n=12A129701
- Row sums of A163233 and A163235 divided by 3.at n=35A163478
- Number of 7-line partitions of n (i.e., planar partitions of n with at most 7 lines).at n=16A225197
- Number of partitions p of n including floor(mean(p)) as a part.at n=36A241334
- Number of unit cubes that have a side on the surface of a p X p X p cube composed of p^3 unit cubes, where p is the n-th prime.at n=13A261971
- a(n) = Sum_{k=1..n} floor((n/k)^k).at n=19A347415
- Expansion of 1/sqrt( (1-x) * (1-x-4*x^2)^3 ).at n=9A383499