6696
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
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 12504
- 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
- 2160
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=34A003378
- Coordination sequence for E_6 lattice.at n=3A008399
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly nine 1's.at n=21A020445
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=20A028589
- Numbers having three 6's in base 10.at n=29A043515
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=21A045051
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=27A051873
- Second differences of partition numbers A000041.at n=51A053445
- McKay-Thompson series of class 32B for the Monster group.at n=33A058630
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=9A060666
- Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223.at n=29A064026
- Numbers beginning and ending with their multiplicative digital root.at n=38A064704
- Numbers n such that phi(n+1) = 3*phi(n).at n=26A067143
- Numbers k such that k+1 is composite and divides 3^k-2^k.at n=17A068410
- Numbers k such that k = (sum of distinct prime factors of k)*(product of distinct prime factors of k).at n=32A068999
- Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n).at n=30A088003
- Numbers with at least two 3s in their prime signature.at n=14A109399
- Triangle read by rows T(n,k) = the number of Dyck paths of semilength n with k UUDDU's, 0<=k<=[(n-1)/2].at n=27A114848
- Bond series for first parallel moment of hexagonal net.at n=17A120542
- Matrix inverse of triangle A122177, where A122177(n,k) = C( k*(k+1)/2 + n-k + 2, n-k) for n>=k>=0.at n=31A121437