3502
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5616
- Proper Divisor Sum (Aliquot Sum)
- 2114
- 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
- 1632
- Möbius Function
- -1
- Radical
- 3502
- 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
- 30
- 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
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=39A001276
- Number of terms in a bordered skew determinant.at n=5A002772
- Coordination sequence T3 for Zeolite Code AEL.at n=39A008006
- Coordination sequence T5 for Zeolite Code BOG.at n=42A008053
- Coordination sequence T1 for Zeolite Code AHT.at n=40A009866
- Coordination sequence T2 for Zeolite Code DFO.at n=45A009876
- Coordination sequence for sigma-CrFe, Position Xa.at n=15A009962
- Coordination sequence T4 for Zeolite Code CGF.at n=41A019454
- a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3.at n=26A022865
- Product of n with 666 is palindromic.at n=22A030094
- Numbers having three 6's in base 8.at n=17A043447
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n-1.at n=37A044334
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n+1.at n=37A044715
- Composite numbers whose 3 prime factors are distinct in length.at n=22A046443
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2, 3 and 4 (mod 5).at n=58A046786
- Coordination sequence T1 for Zeolite Code ISV.at n=41A047958
- Twice second pentagonal numbers.at n=34A049451
- Composite numbers k such that sigma(k + 6!) = sigma(k + 720) = sigma(k) + 720.at n=29A054984
- Sum of terms in simple continued fraction for Sum_{k=0..n} 1/k!.at n=39A058299
- Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.at n=3A062693