7930
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15624
- Proper Divisor Sum (Aliquot Sum)
- 7694
- 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
- 7930
- 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
- yes
- 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
- 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
- Coordination sequence for MgNi2, Position Mg2.at n=22A009935
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=42A020352
- Fibonacci sequence beginning 0, 13.at n=15A022347
- Gaps of 6 in sequence A038593 (lower terms).at n=3A038651
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=35A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=10A038854
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=35A045151
- Denominators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function).at n=14A047817
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-4)/2.at n=21A048064
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 7 skipped primes.at n=41A050774
- Number of sets of distinct primes, the greatest of which is prime(n), whose arithmetic mean is an integer.at n=16A082552
- Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 13 ways.at n=40A097102
- Numbers which when multiplied by any repunit prime Rp give a Smith number.at n=6A104167
- Triangle T, read by rows, that satisfies: T(n,k) = [T^2](n-1,k) for n>k+1>=1, with T(n,n) = 1 and T(n+1,n) = n+1 for n>=0, where T^2 is the matrix square of T.at n=59A109152
- Numbers k such that k concatenated with k-6 gives the product of two numbers which differ by 5.at n=10A116118
- Numbers k such that k concatenated with k-2 gives the product of two numbers which differ by 3.at n=7A116143
- Numbers k such that k concatenated with itself gives the product of two numbers which differ by 1.at n=4A116154
- Related to the minimal number of periodic orbits of periods guaranteed by Sharkovskii's theorem.at n=33A130628
- Alternate terms of A001263 as polynomials divided by x+1 to give a new triangle of coefficients of even powered polynomials.at n=32A136267
- Alternate terms of A001263 as polynomials divided by x+1 to give a new triangle of coefficients of even powered polynomials.at n=28A136267