3537
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5280
- 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
- 2340
- Möbius Function
- 0
- Radical
- 393
- Omega Function (Ω)
- 4
- 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
- 30
- 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
- Patterns in a dual ring.at n=12A007574
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=47A008137
- Pseudoprimes to base 80.at n=29A020208
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=28A020387
- Expansion of g.f.: 1/Product_{n>0} (1 - n^n * x^n).at n=5A023882
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=39A024823
- Coordination sequence T2 for Zeolite Code MWW.at n=40A024987
- Concatenation of n and n + 2 or {n,n+2}.at n=34A032607
- a(n) = (2*n+1)*(10*n+1).at n=13A033574
- Odd numbers with exactly 4 palindromic prime factors (counted with multiplicity).at n=29A046374
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=32A047825
- Concatenate "n" and "nextprime(n)".at n=34A049852
- 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).at n=27A051624
- Expansion of (1-x)/(1-x-x^3-x^4+x^5).at n=23A052532
- Number of positive integers <= 2^n of form 5 x^2 + 5 y^2.at n=16A054175
- Fifth spoke of a hexagonal spiral.at n=34A056109
- Numbers k such that 3*2^k + 5 is prime.at n=40A057913
- Multiples of 9 containing only odd digits.at n=39A061817
- a(n) = (4^n mod 3^n) mod 2^n.at n=11A064536
- Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n.at n=37A066321