6902
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 6058
- 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
- 2688
- Möbius Function
- 1
- Radical
- 6902
- 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
- yes
- 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
- 57
- 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 Hamiltonian paths in P_3 X P_n.at n=9A003685
- Series for second perpendicular moment of square lattice (eventually changes sign).at n=10A006730
- Numbers k such that sigma(k+2) = sigma(k).at n=15A007373
- If a, b in sequence, so is ab+10.at n=33A009368
- Even pentagonal numbers.at n=34A014633
- Poly-Bernoulli numbers B_n^(k) with k=-4.at n=4A027651
- Expansion of 1/((1-3x)(1-5x)(1-8x)(1-11x)).at n=3A028066
- Number of identity bracelets of n beads of 2 colors.at n=17A032239
- a(n) = 2*n*(4*n + 3).at n=29A033587
- Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=32A035994
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) and cn(1,5) <= cn(0,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) and cn(4,5) <= cn(0,5) + cn(3,5).at n=37A039874
- a(n) = Sum_{k=1..n} ((k-1)!)^2*Stirling2(n,k)^2.at n=4A048163
- Pentagonal numbers with even index.at n=34A049452
- a(n) = (1/6)*(2*n - 3)*(n + 2)*(n + 1).at n=29A058373
- Origin numbers: integers unreachable by Bergerson's Alpha construction (see the Ross Eckler link).at n=2A068196
- Maximum position in A072789 where the value n occurs.at n=6A072790
- Number of permutations satisfying i-4<=p(i)<=i+4, i=1..n (permutations of length n within distance 4).at n=8A072856
- Squarefree numbers having exactly three prime gaps.at n=35A073489
- Positive integers not appearing in sequence A098572, which calculates the values of floor(sum(m^(1/m),n=1..m)).at n=39A098573
- Array read by antidiagonals: poly-Bernoulli numbers B(-k,n).at n=40A099594