3189
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4256
- Proper Divisor Sum (Aliquot Sum)
- 1067
- 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
- 2124
- Möbius Function
- 1
- Radical
- 3189
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 123
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=35A002134
- Numbers k such that 3*2^k + 1 is prime.at n=22A002253
- Numbers that are the sum of 3 positive 5th powers.at n=22A003348
- Numbers that are the sum of at most 3 positive 5th powers.at n=40A004843
- Coordination sequence T1 for Zeolite Code MTW.at n=37A008196
- Coordination sequence T3 for Zeolite Code NON.at n=34A008214
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=4A020409
- Convolution of Thue-Morse sequence A001285 with A008578 = {1, primes}.at n=34A029896
- 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 36.at n=25A031534
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=21A031794
- Numbers whose set of base-9 digits is {3,4}.at n=22A032833
- Coordination sequence T2 for Zeolite Code SBT.at n=45A033613
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 4).at n=38A035547
- Numbers having three 3's in base 9.at n=27A043467
- Numbers n such that string 8,9 occurs in the base 10 representation of n but not of n-1.at n=31A044421
- Numbers n such that string 1,8 occurs in the base 10 representation of n but not of n+1.at n=35A044731
- Numbers k such that string 8,9 occurs in the base 10 representation of k but not of k+1.at n=31A044802
- a(n)=T(n,n+3), array T as in A049735.at n=21A049743
- Composite and every divisor (except 1) contains the digit 3.at n=36A062668
- Number of partitions of n into distinct parts such that number of parts is odd.at n=55A067659