7116
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16632
- Proper Divisor Sum (Aliquot Sum)
- 9516
- 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
- 2368
- Möbius Function
- 0
- Radical
- 3558
- 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
- 150
- 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
- A subclass of 2n-node trivalent planar graphs without triangles.at n=11A006797
- 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 42.at n=39A031540
- Numerators of continued fraction convergents to sqrt(830).at n=6A042602
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 3 (mod 4).at n=52A046767
- Row/column pre-periods of Sprague-Grundy values of Wythoff's Game.at n=36A046874
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=38A052477
- Triangle read by rows: T(n,k) = Sum_{j=0..k-1} T(n,j) + Sum_{j=1..n-k} T(n-j,k), with T(0,0)=1 and T(n,k) = 0 for k > n.at n=32A059450
- Number of partitions of n objects of 2 colors with parts size >1.at n=15A060285
- Numbers k such that phi(x) = k has exactly 7 solutions.at n=43A060670
- Numbers k such that k + prime(k) gives a triangular number.at n=30A115882
- a(n) = 216*n - 12.at n=32A154518
- Even numbers that can only be expressed as the sum of two distinct twin prime pairs in two ways: n = p+(q+2) = (p+2)+q where (3,5) < (p,p+2) < (q,q+2).at n=70A179014
- Number of strings of numbers x(i=1..n) in 0..2 with sum i*x(i)^3 equal to n*8.at n=14A184713
- Number of strictly increasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=29A188182
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,0,0,1,1,1 for x=0,1,2,3,4,5,6.at n=4A203111
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2.at n=18A214503
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2.at n=27A214510
- G.f. satisfies: A(x) = (1 + 2*x*A(x))^2 * (2 + A(x)) / 3.at n=4A231554
- Number of partitions of n such that the number of parts is a part and the number of distinct parts is a part.at n=48A241377
- a(1) = 1; a(n+1) = a(n) + product of digits of a(n) + sum of digits of a(n).at n=47A248078