3729
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
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 1743
- 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
- 2240
- Möbius Function
- -1
- Radical
- 3729
- 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
- 69
- 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
- no
- Odd
- yes
Appears in sequences
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=33A001106
- Coordination sequence T3 for Zeolite Code RTH.at n=42A009895
- Expansion of e.g.f. theta_3^(11/2).at n=4A015671
- Coordination sequence T8 for Zeolite Code TER.at n=41A016440
- Pseudoprimes to base 65.at n=25A020193
- Pseudoprimes to base 98.at n=33A020226
- A024723(n+3)/2.at n=15A024724
- Sum of the numbers between the two n's in A026362.at n=32A026365
- Coordination sequence T2 for Zeolite Code CGS.at n=45A027366
- Coordination sequence T4 for Zeolite Code CGS.at n=45A027368
- Odd 9-gonal (or enneagonal) numbers.at n=16A028991
- a(n) = (2*n+1)*(7*n+1).at n=16A033572
- Multiplicity of highest weight (or singular) vectors associated with character chi_22 of Monster module.at n=34A034410
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=8A045213
- Composite numbers whose 3 prime factors are distinct in length.at n=31A046443
- Squarefree nonprimes with property that the concatenation of the prime factors is a palindrome.at n=35A046448
- Numbers that are the product of 3 prime factors whose concatenation is a palindrome.at n=15A046452
- Coordination sequence T2 for Zeolite Code SAV.at n=46A057315
- Coordination sequence T3 for Zeolite Code SAV.at n=46A057316
- a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes.at n=4A066509