7659
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11856
- Proper Divisor Sum (Aliquot Sum)
- 4197
- 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
- 4752
- Möbius Function
- 0
- Radical
- 2553
- Omega Function (Ω)
- 4
- 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
- 176
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(29*n - 1)/2.at n=23A022286
- Number of n-node planar graphs with minimum degree at least 5.at n=21A049373
- Number of forests of rooted trees of nonempty sets with n points. (Each node is a set of 1 or more points.)at n=9A052855
- Numbers k such that k | sigma_3(k) - phi(k)^3.at n=12A055697
- Number of inequivalent (ordered) solutions to n^2 = sum of 7 squares of integers >= 0.at n=42A065461
- Gives an LCD representation of n.at n=23A071843
- Smallest index i such that next_prime( 2*prime(i) ) - 2*prime(i) = 2n - 1.at n=34A074973
- First column and main diagonal of triangle A092683, in which the convolution of each row with {1,1} produces a triangle that, when flattened, equals the flattened form of A092683.at n=15A092684
- Difference between ceiling(e^(n/2 - 1)) (A005181) and the n-th Fibonacci number (A000045).at n=23A096766
- Maximum sum of products of successive pairs in a permutation of order n+1.at n=27A101986
- Least number k such that k, k+n, k+2*n and k+3*n have the same number of divisors.at n=32A113468
- 3 times 12-gonal (or dodecagonal) numbers: a(n) = 3*n*(5*n-4).at n=23A153448
- Multiples of 23 whose digit reversal + 1 is also a multiple of 23.at n=11A166393
- Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^4 equal to 7*n^4.at n=37A184851
- Number of zero-sum -1..1 arrays of n elements with first through third differences also in -1..1.at n=27A202504
- Principal diagonal of the convolution array A213571.at n=5A213572
- Number of 0..n arrays of length 3 with each element differing from at least one neighbor by something other than 1.at n=19A221574
- a(n) = Sum_{i=0..n} digsum_6(i)^3, where digsum_6(i) = A053827(i).at n=37A231674
- Smallest positive integer which can be represented as the sum of distinct positive cubes in exactly n ways, or 0 if no such integer exists.at n=26A275154
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 182", based on the 5-celled von Neumann neighborhood.at n=13A279697