3675
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7068
- Proper Divisor Sum (Aliquot Sum)
- 3393
- 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
- 1680
- Möbius Function
- 0
- Radical
- 105
- Omega Function (Ω)
- 5
- 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
- 100
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=50A011914
- Coordination sequence T3 for Zeolite Code CGF.at n=42A019453
- Coordination sequence T4 for Zeolite Code CGF.at n=42A019454
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=44A023108
- a(n) = Sum_{k=0..floor(n/2)} A026626(n-k, k).at n=17A026636
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=40A031892
- a(n) = 3*n^2.at n=35A033428
- Odd numbers m such that there exists an even number k < m with phi(k) = phi(m).at n=34A036798
- Coordination sequence T2 for Zeolite Code SFF.at n=40A038438
- Base-4 palindromes that start with 3.at n=35A043005
- Odd numbers divisible by exactly 5 primes (counted with multiplicity).at n=36A046318
- Odd numbers with exactly 5 palindromic prime factors (counted with multiplicity).at n=19A046375
- Coordination sequence T4 for Zeolite Code DON.at n=41A047956
- A triangle of numbers related to triangle A030526.at n=25A049353
- Composite numbers k such that all prime factors of k are a substring of k.at n=37A050694
- Number of numbers whose cube root rounds to n.at n=35A058034
- Numbers k such that k^2 * 2^k - 1 is prime.at n=21A058781
- Numbers k that, when expressed in base 4 and then interpreted in base 9, give a multiple of k.at n=16A062925
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=15A063052
- Odd values of k such that phi(k)! divides phi(k!) where phi(k) = A000010(k).at n=43A067562