7624
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14310
- Proper Divisor Sum (Aliquot Sum)
- 6686
- 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
- 3808
- Möbius Function
- 0
- Radical
- 1906
- 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
- 31
- 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
- Euler transform of A000579.at n=6A000428
- a(n) = (d(n) - r(n))/5, where d = A026037 and r is the periodic sequence with fundamental period (1,2,0,2,0).at n=46A026039
- a(n) = T(2*n-1, n-1), where T is given by A026584.at n=7A026593
- a(n) = T(n, floor(n/2)), where T is given by A026584.at n=15A026595
- 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 43.at n=24A031541
- Numbers whose set of base-9 digits is {1,4}.at n=34A032821
- Base-9 palindromes that start with 1.at n=33A043028
- Numbers having four 1's in base 9.at n=21A043460
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=28A045288
- Composite n such that phi(n+4) = phi(n)+4.at n=43A056773
- Number of unlabeled and connected graphs on n vertices which are long hole-free (i.e., the graph contains no induced cycle of size 5 or more).at n=7A079455
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=23A098192
- a(n) = floor(sqrt(a(n-1)^2 + a(n-2)^2)), a(1)=100, a(2)=300.at n=15A104908
- Triangle read by rows: T(n,k) is the number of permutations p of {1,2,...,n} such that the set {|p(i)-i|, i=1,2,...,n} has exactly k elements (1<=k<=n).at n=33A125183
- Sequence arising from the factorization of F(n) = A083102(n-1) and L(n) = A127261. F(0) = 0, F(1) = 1, F(n) = 2*F(n-1)+10*F(n-2), L(0) = 2, L(1) = 2, L(n) = 2*L(n-1)+10*L(n-2).at n=8A127608
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 10001-11111-00100 pattern in any orientation.at n=24A147389
- Sum of proper divisors minus the number of proper divisors of the number of partitions of n, A000041(n).at n=32A152987
- First of two consecutive numbers with at least one 3 in their prime signature.at n=36A176313
- The Wiener index of the double-comb graph \/_\/_\/...\/_\/ with 3n (n>=1) nodes. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices in the graph.at n=15A192025
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x<=y*z+1.at n=11A212053