7816
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14670
- Proper Divisor Sum (Aliquot Sum)
- 6854
- 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
- 3904
- Möbius Function
- 0
- Radical
- 1954
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 101
- 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(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=15A004968
- Coordination sequence for MgNi2, Position Ni1.at n=22A009933
- Coordination sequence for alpha-Mn, Position Mn4.at n=23A009953
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EPI = Epistilbite Ca3[Al6Si18O48].16H2O starting with a T1 atom.at n=12A019119
- Number of balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing).at n=31A019298
- 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 21.at n=40A031519
- Bisection of A028289.at n=45A038390
- Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ...at n=45A052337
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=30A063358
- a(n) = a(n-1) + a(n-2) + R(a(n-3)) + R(a(n-4)) where a(1)=a(2)=a(3)=a(4)=1 and R(n) (A004086) is the reverse of n.at n=15A074864
- Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 8 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n, s(0) = 3, s(2n) = 5.at n=7A094821
- Expansion of x*(4+5*x-x^2)/ (1-2*x-3*x^2+x^3).at n=7A095126
- Expansion of 1/(1 - x + x^4).at n=58A099530
- Numbers n such that p(8n) is prime, where p(n) is the number of partitions of n.at n=21A114168
- Integers i such that 16*i XOR 17*i = 33*i.at n=46A115833
- Triangle T, read by rows, where row n+1 of T equals row n of matrix power T^n added to row n of T (shifted right).at n=23A130528
- Column 2 of triangle A130528.at n=4A130531
- Number of (directed) Hamiltonian paths in the n-ladder graph.at n=62A137882
- Expansion of 1/(x^k*(1-x-3*x^(k+1))) for k=8.at n=28A143459
- Number of collinear point 6-tuples in an n X n X n cubical grid.at n=7A178264