3533
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3534
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3532
- Möbius Function
- -1
- Radical
- 3533
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 494
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code BRE.at n=39A008059
- Coordination sequence T3 for Zeolite Code VET.at n=36A009904
- a(n) = Sum_{k = 0..n} binomial(n,k)^3*binomial(n+k,k)^2.at n=3A014180
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=36A019546
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=21A020356
- Primes that contain digits 3 and 5 only.at n=4A020462
- Sequence satisfies T^2(a)=a, where T is defined below.at n=51A027586
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=38A029732
- Primes p whose digits do not appear in p^2.at n=41A030086
- Smallest nontrivial extension of n-th palindromic prime which is a prime.at n=11A030680
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=7A031422
- Primes of form x^2+71*y^2.at n=30A033246
- Smallest n-digit prime containing only digits 3 and 5, or 0 if no such prime exists.at n=3A036941
- Denominators of continued fraction convergents to sqrt(459).at n=7A041875
- Denominators of continued fraction convergents to sqrt(925).at n=6A042789
- Numbers having three 3's in base 10.at n=25A043503
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=35A044365
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n+1.at n=35A044746
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=13A045246
- Number of catafusenes with C_{2v}(b) symmetry (see reference for precise definition).at n=7A045908