6984
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 19110
- Proper Divisor Sum (Aliquot Sum)
- 12126
- 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
- 2304
- Möbius Function
- 0
- Radical
- 582
- Omega Function (Ω)
- 6
- 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
- 150
- 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
- Coordination sequence for 4-dimensional I-centered cubic orthogonal lattice.at n=12A008532
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5).at n=42A035565
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) <= cn(3,5) = cn(4,5).at n=70A036848
- Numerators of continued fraction convergents to sqrt(584).at n=2A042118
- Revert transform of (-1 + 3x - 2x^2 + x^3)/(2x - 1).at n=8A049135
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.at n=13A057507
- McKay-Thompson series of class 18e for the Monster group.at n=38A058543
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=24A063436
- Sum of products of terms in all partitions of n into odd parts.at n=19A067553
- Barriers for bigomega(n): numbers n such that, for all m < n, m + bigomega(m) <= n.at n=37A068597
- Number of permutations s of {1,2,...,n} such that |s(i)-i|>3 for each i=1,2,...,n.at n=11A075852
- Number of cycles in range [A014137(2n)..A014138(2n)] of permutation A057505/A057506.at n=6A081167
- Least positive integer coefficients of power series A(x) such that the coefficients of A(x)^2 + A(x) - 1 consist entirely of squares.at n=72A083352
- Numbers which are sums of two and also sums of three positive cubes.at n=14A085336
- Numbers which are sums of two, three and four cubes.at n=5A085337
- Numbers which are sums of two, three, four and also sums of five cubes.at n=4A085338
- Numbers of the form p^3 + q^3, p, q primes.at n=28A086119
- Numbers k such that k! + (k+1)! + 1 is prime.at n=7A087147
- McKay-Thompson series of class 36b for the Monster group.at n=38A112173
- Lynch-Bell numbers k such that 1 is not a digit of k.at n=46A116960