3878
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
- 8
- Divisor Sum
- 6672
- Proper Divisor Sum (Aliquot Sum)
- 2794
- 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
- 1656
- Möbius Function
- -1
- Radical
- 3878
- Omega Function (Ω)
- 3
- 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
- 51
- 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 T3 for Zeolite Code DDR.at n=39A008073
- Coordination sequence T5 for Zeolite Code HEU.at n=41A008120
- n is equal to the number of 2's in all numbers <= n written in base 6.at n=0A014891
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=30A015628
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=20A015993
- Powers of fifth root of 24 rounded up.at n=13A018185
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026659.at n=11A026666
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=35A028291
- Cube root of A030697.at n=17A030698
- Composite numbers whose prime factors contain no digits other than 2 and 7.at n=43A036312
- Numbers k such that k^512 + 1 is prime.at n=8A057465
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 96 ).at n=36A063369
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=20A065217
- a(n) = floor(binomial(n+7,7)/binomial(n+3,3)).at n=37A084628
- Number of subsets of {1,2,...,n} such that every number in the set is no larger than the sum of the other numbers in the set.at n=11A095941
- a(1) = 668; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=17A105212
- Integers i such that 16*i XOR 17*i = 33*i.at n=33A115833
- Main diagonal of array A[k,n] = n-th sum of 3 consecutive k-gonal numbers, k>2.at n=13A130423
- Difference between partial sum of the first n primes and the first n even numbers greater than 0.at n=58A135267
- Expansion of Product_{k > 0} (1 + f(k)*x^k), where f(n) = A147952(n).at n=25A147953