3982
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 2570
- 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
- 1800
- Möbius Function
- -1
- Radical
- 3982
- 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
- yes
- 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
- First occurrence of n consecutive numbers that take same number of steps to reach 1 in 3x+1 problem.at n=12A000546
- Number of bipartite partitions.at n=13A002766
- Coordination sequence T4 for Zeolite Code MTT.at n=39A008192
- Coordination sequence for MgZn2, Position Zn1.at n=16A009937
- Powers of fifth root of 10 rounded up.at n=18A018143
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=30A020379
- Fibonacci sequence beginning 5, 14.at n=13A022139
- a(n) = Sum_{k=0..n} (k+1) * A026626(n,k).at n=9A026965
- Composite numbers whose 3 prime factors are distinct in length.at n=40A046443
- Sum of smallest parts of all partitions of n.at n=27A046746
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A048149.at n=35A049713
- Numbers k such that 273*2^k-1 is prime.at n=35A050895
- Euler phi(n) / Carmichael lambda(n) = 10.at n=41A062377
- Numbers k such that the period of the continued fraction for sqrt(3)*k is 2.at n=37A064933
- Integers for which the periodic part of the continued fraction for the square root of n begins with 9.at n=40A065012
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=24A067071
- Numbers n of the form k + reverse(k) for exactly two k.at n=24A072040
- Numbers k such that h(k) = h(k-1) + h(k-2), where h(k) = A006577(k) + 1 is the length of the sequence {k, f(k), f(f(k)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=19A078418
- Numbers n such that h(n) = 2 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=16A078419
- Arithmetic means of rows of A083173.at n=41A083176