7678
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 4922
- 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
- 3480
- Möbius Function
- -1
- Radical
- 7678
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 114
- 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
- a(n) = floor(exp(8/19)*n!).at n=7A030870
- Trajectory of 3 under map n->29n+1 if n odd, n->n/2 if n even.at n=18A037112
- Number of primes between n*100000 and (n+1)*100000.at n=4A038825
- Sum of squares of entries of Wilkinson's eigenvalue test matrix of order 2n+1.at n=22A059834
- a(0) = 1, a(1) = 5, a(2) = 13; a(n) = 2*a(n-1) + 2, n > 2.at n=11A060182
- a(n) = floor(a(n-1)/2) + a(n-2) with a(0)=1, a(1)=2.at n=36A064650
- Number of polyominoes consisting of 6 regular unit n-gons.at n=15A103472
- Sum of ordered 3 prime sided prime triangles.at n=34A105100
- Number of partitions of {1,...,n} into block sizes not a multiple of 3.at n=9A113774
- Number of permutations of length n which avoid the patterns 1234, 2431, 4231.at n=9A116783
- Right-angled numbers with an internal digit as the vertex.at n=41A135602
- Expansion of (phi(q) * phi(q^2))^3 in powers of q where phi() is a Ramanujan theta function.at n=36A136028
- Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-2*min{w,x,y,z}.at n=16A212745
- Number of steps to go from 2^(n+1)-1 to (2^n)-1 using the iterative process described in A071542.at n=16A213709
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2.at n=24A214025
- Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with every occupancy equal to zero or two.at n=3A221395
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with every occupancy equal to zero or two.at n=24A221396
- Number of contractible "tight" meanders of width n.at n=12A230439
- Number of partitions p of n such that (number of numbers of the form 3k in p) is a part of p.at n=34A241546
- a(n) = floor((10*n^3 + 63*n^2 + 126*n + 89) / 72).at n=36A254874