7838
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 3922
- 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
- 3918
- Möbius Function
- 1
- Radical
- 7838
- Omega Function (Ω)
- 2
- 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
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- If a, b in sequence, so is ab+10.at n=37A009368
- a(n) = sum of cubes of p(j) - p(i), for 0 <= i < j <= n, where p(0) = 1.at n=5A024527
- 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 88.at n=5A031586
- Trajectory of 1 under map n->11n+1 if n odd, n->n/2 if n even.at n=14A033963
- Trajectory of 3 under map n->11n+1 if n odd, n->n/2 if n even.at n=11A037103
- a(n) is the smallest integer such that the sum of any three ordered terms a(k), k <= n, is unique.at n=18A051912
- McKay-Thompson series of class 46C for the Monster group.at n=52A058689
- Least numbers m such that GCD of two consecutive values of cototients, i.e., gcd(cototient(m+1), cototient(m)) equals 2n - 1.at n=24A070017
- Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the four-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).at n=56A079220
- Square array T(n,k), read by antidiagonals: number of labeled trees, with increments of labels along edges constrained to -1,0,1, with n nodes that have no label greater than k.at n=26A101486
- Number of positive integers <= 10^n that are divisible by no prime exceeding 11.at n=8A107352
- 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=37A124225
- Triangle T, read by rows, where column k of T = column 0 of matrix power T^(k+1) for k>0, with column 0 of T = column 1 of T^2 (shifted).at n=22A152406
- Column 1 of triangle A152406; also, column 0 of matrix square of A152406.at n=5A152408
- Number of 6X6 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.at n=22A156389
- Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 22.at n=3A156478
- a(2*n) = n*a(n); a(2*n+1) = n*a(n) + a(n+1), with a(1) = 1.at n=46A176528
- Number of multiset repetition class defining partitions of N with 1<=N<=n.at n=54A185976
- Number of right triangles on an (n+1) X 5 grid.at n=15A189809
- a(n) = prime(n+1)^2 - prime(n).at n=22A261465