3904
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 7874
- Proper Divisor Sum (Aliquot Sum)
- 3970
- 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
- 1920
- Möbius Function
- 0
- Radical
- 122
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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
- Expansion of e.g.f. (1 + tan(x))/(1 - tan(x)).at n=6A000831
- a(n) = (5*n+1)*(5*n+4).at n=12A001545
- E.g.f.: Sum_{n >= 0} a(n)*x^(2*n)/(2*n)! = sec(2*x).at n=3A002436
- Number of P-equivalence classes of nondegenerate Boolean functions of n variables.at n=4A003181
- Expansion of e.g.f. log(1 + tan(x)).at n=7A003707
- Coordination sequence T1 for Moganite.at n=40A008258
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=51A011914
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=28A020379
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^4.at n=12A028612
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=35A028620
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=38A028620
- Numbers with 14 divisors.at n=18A030632
- 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 31.at n=15A031529
- "CFK" (necklace, size, unlabeled) transform of 2,1,1,1...at n=26A032140
- Numbers k such that 25*2^k+1 is prime.at n=22A032362
- Sum of odd divisors of n < sqrt(n) = sum of even divisors of n < sqrt(n).at n=6A033832
- Gaps of 9 in sequence A038593 (lower terms).at n=4A038657
- First gap of n in sequence A038593 (upper terms).at n=23A038662
- Multiples of 8 that are the difference of two positive cubes.at n=35A038850
- Numbers ending with '4' that are the difference of two positive cubes.at n=12A038859