7844
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 6520
- 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
- 3744
- Möbius Function
- 0
- Radical
- 3922
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 176
- 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
- Numbers that are the sum of 9 nonzero 8th powers.at n=15A003387
- Every prefix prime in base 9 (written in base 9).at n=37A024769
- a(n) = d(n)/2, where d = A026040.at n=33A026041
- Expansion of 1/((1-3x)(1-5x)(1-8x)(1-12x)).at n=3A028067
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=45A028611
- "DHK" (bracelet, identity, unlabeled) transform of 0,1,1,1,...at n=27A032244
- Low-temperature susceptibility expansion for square lattice (Potts model, q=3).at n=8A057375
- a(n) = A051612(n)*A065387(n) = sigma(n)^2-phi(n)^2, where A051612(n) = sigma(n) - phi(n) and A065387(n) = sigma(n) + phi(n).at n=39A077101
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=13A090789
- Number of compositions of n where the smallest part is greater than the number of parts.at n=44A098132
- Number of binary strings of length n with equal numbers of 0001 and 0011 substrings.at n=14A164156
- Cubes (n * n * n) in carryless arithmetic mod 10.at n=34A169885
- A triangle sequence of the form: T(n,m) = binomial(n, m) + floor(Eulerian(n + 1, m)/2).at n=31A174035
- A triangle sequence of the form: T(n,m) = binomial(n, m) + floor(Eulerian(n + 1, m)/2).at n=32A174035
- Partial sums of A002503.at n=36A176358
- Number of n X n X n triangular binary arrays with no three 1's adjacent in a row in any of the three triangular directions.at n=4A183277
- Number of 3 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=36A188554
- L.g.f.: Sum_{n>=1} (x^n/n) / Product_{d|n} (1 - d*x^n).at n=20A198299
- Meandric numbers for a river crossing up to 4 parallel roads at n points.at n=11A208062
- Number of rooted trees with n nodes having some subtrees replaced by cycles such that no leaf nodes are left over.at n=19A213682