2886
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6384
- Proper Divisor Sum (Aliquot Sum)
- 3498
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 864
- Möbius Function
- 1
- Radical
- 2886
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Number of rhyme schemes (see reference for precise definition).at n=5A005003
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=39A011901
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 34.at n=31A031532
- a(n) = floor(10000/sqrt(n)).at n=11A033433
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 4).at n=40A035546
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+5 or 16k-5.at n=43A036022
- Period of n-countdown club-passing juggling pattern.at n=36A039720
- Denominators of continued fraction convergents to sqrt(90).at n=5A041161
- Numbers k such that the string 5,6 occurs in the base 9 representation of k but not of k-1.at n=39A044302
- Numbers n such that string 8,6 occurs in the base 10 representation of n but not of n-1.at n=31A044418
- Numbers n such that string 8,6 occurs in the base 10 representation of n but not of n+1.at n=31A044799
- Numbers with multiplicative persistence value 5.at n=34A046514
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049840.at n=41A049841
- Numbers k such that 231*2^k-1 is prime.at n=33A050867
- Numbers n such that A053238(n) = 3.at n=42A053243
- a(n) = 2*n^2 - 2.at n=37A054000
- n*M127 - 1 is prime, where M127 = 2^127 - 1.at n=26A057441
- McKay-Thompson series of class 52B for Monster.at n=50A058706
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=18A063373
- Number of partitions of n into factorial parts ( 0! allowed ).at n=51A064985