10860
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 30576
- Proper Divisor Sum (Aliquot Sum)
- 19716
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 5430
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 99
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of bipartite partitions of n white objects and 6 black ones.at n=11A002755
- Expansion of Product_{m>=1} (1 + q^m)^(3*m).at n=10A027346
- Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^5.at n=25A029842
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5) + cn(1,5) and cn(2,5) + cn(3,5) <= cn(0,5) + cn(4,5).at n=39A039865
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=38A060674
- Product of n-th prime number and n-th composite number.at n=41A067563
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=25A068540
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=38A105282
- Averages of twin prime pairs of A154546.at n=38A154548
- Averages of twin prime pairs which are a sum of averages of two consecutive twin prime pairs.at n=25A160916
- Minimum value unattainable as the sum of 7 attained values of i^2 with i in 0..n.at n=41A225280
- Number of arrays of median of three adjacent elements of some length n+2 0..5 array, with no adjacent equal elements in the latter.at n=5A229009
- T(n,k) = number of arrays of median of three adjacent elements of some length n+2 0..k array, with no adjacent equal elements in the latter.at n=50A229012
- Number of arrays of median of three adjacent elements of some length 8 0..n array, with no adjacent equal elements in the latter.at n=4A229016
- Numbers k such that k is the average of four consecutive primes k-7, k-1, k+1 and k+7.at n=17A258879
- Number of permutations p of [n] with no fixed points and displacement of elements restricted by six: 1 <= |p(i)-i| <= 6.at n=8A259779
- Numbers k such that (35*10^k - 11)/3 is prime.at n=28A268448
- a(n) = 81*n^2 - 69*n + 24.at n=12A304616
- a(n) = 27*n^2 - 51*n + 24, n>=1.at n=20A304836
- Number of integer partitions of n containing their multiset of multiplicities (as a submultiset).at n=48A325702