7830
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 13770
- 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
- 2016
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- Number of non-isentropic binary rooted trees with n nodes.at n=10A002844
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0).at n=54A036820
- Numerators of continued fraction convergents to sqrt(327).at n=2A041616
- Denominators of row 4 of table described in A051714/A051715.at n=25A051723
- Numbers k such that k | sigma_7(k).at n=37A055711
- McKay-Thompson series of class 34A for Monster.at n=37A058638
- a(n) = 18*(n - 2)*(2*n - 5).at n=15A060787
- Numbers k such that tau_3(k) (the number of ordered factorizations of k as k = r*s*t) divides k.at n=34A069147
- a(n) = (prime(n)+1)*(prime(n+1)+1)/4.at n=39A079079
- Even numbers of the form floor( binomial(2k, 2j)/binomial(k, j)).at n=8A111304
- Numbers k such that k^2 + 11 and k^2 + 13 are primes.at n=32A113537
- Number of integer-sided triangles with all sides <= n and sides relatively prime.at n=46A123324
- a(n) = n*A002088(n).at n=28A143270
- Indices k such that 4 plus the k-th triangular number is a perfect square.at n=9A154139
- a(n) = 9*n*(n+1).at n=29A163758
- Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i)^3 equal to 6*n^3.at n=37A184723
- Number of 2-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=44A187297
- Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 4 array.at n=33A219498
- Sum of numbers on n-th segment of Ulam's spiral.at n=38A257171
- Number T(n,k) of redundant binary trees with n inner nodes of exactly k different dimensions used for the partition of the k-dimensional hypercube by hierarchical bisection; triangle T(n,k), n>=3, 2<=k<=n-1, read by rows.at n=10A258427