7790
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 7330
- 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
- 2880
- Möbius Function
- 1
- Radical
- 7790
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 83
- 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) = Sum_{k=0..n} T(n,n+k), T given by A027023.at n=9A027035
- a(0)=1; thereafter, a(m+1) = Sum_{k=0..m} k!*a(m-k).at n=8A051295
- The number phi_3(n) of Frobenius partitions that allow up to 3 repetitions of an integer in a row.at n=21A053992
- Number of primitive (aperiodic) reversible strings with n beads using a maximum of five different colors.at n=5A056316
- Number of obtuse triangles made from vertices of a regular n-gon.at n=41A060423
- Orchard crossing number of complete bipartite graph K_{1,n}.at n=40A080838
- Table T(n,k), n >= 0 and k >= 0, read by antidiagonals, related to A111146.at n=53A113143
- Table T(n,k), n>=1 and k>=0, read by antidiagonals, related to A111146.at n=44A113326
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=28A119864
- Numbers k such that the sum of the first k primes is prime and the sum of the squares of the first k primes is also prime.at n=36A124225
- A084938 * A000012.at n=36A134379
- A084938 * A000012.at n=37A134379
- Factorial eigentriangle: A119502 * (A051295 *0^(n-k)); 0 <= k <= n.at n=44A143965
- 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, 1), (-1, 0, 1), (0, 0, 1), (0, 1, -1), (1, 0, -1)}.at n=9A148587
- a(n) = n^3 - n*(n+1)/2.at n=20A160378
- a(n) = smallest number that leads to a new cycle under the base-6 Kaprekar map of A165051.at n=7A165068
- Partial sums of A023201.at n=43A172295
- Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [21, 20, 29]. The edges of the spiral have length A195033.at n=38A195034
- 41 times triangular numbers.at n=19A195038
- Number of (n+1)X(n+1) binary arrays with consecutive windows of two bits considered as a binary number nondecreasing in every row and column.at n=5A202329