7960
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18000
- Proper Divisor Sum (Aliquot Sum)
- 10040
- 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
- 3168
- Möbius Function
- 0
- Radical
- 1990
- Omega Function (Ω)
- 5
- 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
- 26
- 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) = round(n*phi^11), where phi is the golden ratio, A001622.at n=40A004946
- a(n) = 1 + n/2 + 9*n^2/2.at n=42A006137
- Number of ordered 5-tuples of integers from [ 2,n ] with no global factor.at n=13A015651
- a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }.at n=25A022905
- Denominators of continued fraction convergents to sqrt(99).at n=7A041179
- Denominators of continued fraction convergents to sqrt(891).at n=9A042723
- a(n) = A064835(n)/2.at n=16A064836
- Number of double points of the map that, for each term t of a sequence, counts the preceding terms that are greater than or equal to t.at n=9A071962
- Numbers n such that sum k/d(k) is an integer, where d(k) is the k-th divisor of n (the divisors of n are in decreasing order).at n=6A073083
- Numbers k such that 99*k^2 + 1 is a square.at n=4A075843
- Irregular array, read by rows: T(n,k) is the number of labeled acyclic digraphs with n nodes and k arcs (n >= 0, 0 <= k <= n*(n-1)/2).at n=21A081064
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=22A099834
- Structured deltoidal hexacontahedral numbers (vertex structure 9).at n=7A100166
- Structured pentakis dodecahedral numbers (vertex structure 6).at n=9A100173
- Binomial transform of the Tower of Hanoi sequence.at n=12A106461
- Numbers n such that 55*10^n + 1 is prime.at n=15A109800
- A Fine number related number triangle.at n=58A124392
- Numbers k such that k and k+5 are 5-almost primes.at n=30A124942
- Chebyshev polynomial of the second kind U(3,n).at n=10A144138
- Number of consistent sets of 6 irreflexive binary order relationships over n objects.at n=1A147860