7682
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 4414
- 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
- 3652
- Möbius Function
- -1
- Radical
- 7682
- Omega Function (Ω)
- 3
- 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
- 39
- 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 points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=16A005903
- Number of irreducible positions of size n in Montreal solitaire.at n=8A007076
- a(n) = n*(29*n + 1)/2.at n=23A022287
- Least k>1 such that reverse of first n terms of A022303 repeats beginning at k-th term.at n=51A025520
- 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 86.at n=18A031584
- Numbers k such that 87*2^k+1 is prime.at n=23A032393
- Number of labeled digraphs where every node has indegree 0 or outdegree 0 and no isolated nodes.at n=6A052332
- n*10^2-1, n*10^2-3, n*10^2-7 and n*10^2-9 are all prime.at n=15A064976
- Numbers k such that k and k^2 together contain all ten digits.at n=19A122477
- Number of coincidence-free length n lists of 5-tuples with all numbers 1..n in tuple position k, for k=1..5.at n=3A135811
- Triangle of numbers of coincidence-free length n-m lists of m-tuples with all numbers 1,...,n-m in tuple position k, for k=1..m.at n=41A135814
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, 1), (1, -1, -1), (1, 1, 0)}.at n=7A150486
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 0), (1, 0, 1), (1, 1, 0)}.at n=7A150682
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2.at n=47A180825
- a(n) = A057641(A094348(n)).at n=27A181852
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and nonzero second and third differences.at n=10A200205
- Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor.at n=17A207142
- Numbers n such that n^2 + 1 is divisible by a 4th power.at n=25A218563
- Conjectured lower bounds for the Riemann hypothesis function floor(H(k) + exp(H(k))*log(H(k))) - sigma(k).at n=16A222761
- Triangle T(n,k) of strongly graded (3+1)-free partially ordered sets (posets) on n labeled vertices with height k.at n=16A222864