3968
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8160
- Proper Divisor Sum (Aliquot Sum)
- 4192
- 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
- 62
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 113
- 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
- Generalized tangent numbers.at n=2A002303
- a(n) = a(n-1)^2 - 1, a(0) = 2.at n=4A003096
- Generalized weak orders on n points.at n=3A004121
- Triangle of coefficients in expansion of D^n (tan x) in powers of tan x.at n=20A008293
- Triangle of tangent numbers.at n=16A008308
- Expansion of e.g.f. cos(tanh(x))/cos(x), even powers only.at n=4A009089
- Expansion of e.g.f.: cosh(log(1+sin(x))).at n=8A009123
- Expansion of exp(tan(x))/cosh(x).at n=8A009245
- Expansion of tan(x)*cosh(log(1+x)).at n=7A009731
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=21A015993
- E.g.f. (1/2) * tan(x)^2 (even powers only).at n=4A024283
- Theta series of hypothetical extremal 16-dimensional strongly 10-modular lattice.at n=5A030024
- Numbers n such that uphi(sigma(n)) = n, where the uphi is the unitary phi function A047994.at n=19A030164
- Numbers having period-4 6-digitized sequences.at n=13A031197
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=31A033996
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=26A036333
- Number of ways of placing 2n points on n X n grid so no 3 are in a line (solutions with 180 deg rotational symmetry).at n=22A037187
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=0A045247
- Numbers that are divisible by exactly 8 primes counting multiplicity.at n=35A046310
- Number of non-unitary divisors of n!.at n=14A048657