3559
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3560
- 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
- 3558
- Möbius Function
- -1
- Radical
- 3559
- 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
- 48
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 499
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Supersingular primes of the elliptic curve X_0 (11).at n=10A006962
- a(n) = a(n-1) + a(n-2) + a(n-3).at n=13A007486
- Coordination sequence T4 for Zeolite Code EUO.at n=37A008099
- Coordination sequence T10 for Zeolite Code MFI.at n=38A008162
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=5A020419
- Number of 8's in all partitions of n.at n=34A024792
- Primes p whose digits do not appear in p^2.at n=42A030086
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 59.at n=7A031557
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=16A031798
- Lucky numbers with smallest increasing gaps (upper terms).at n=25A031885
- Lower prime of a difference of 12 between consecutive primes.at n=36A031930
- Primes of form x^2+95*y^2.at n=25A033206
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=26A033548
- Number of tree-like heptagonal systems.at n=7A036757
- Numbers n such that string 5,9 occurs in the base 10 representation of n but not of n-1.at n=38A044391
- Numbers n such that string 5,5 occurs in the base 10 representation of n but not of n+1.at n=35A044768
- Numbers n such that string 5,9 occurs in the base 10 representation of n but not of n+1.at n=38A044772
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=10A047977
- Integers n such that A047988(n)=3.at n=15A047986
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=29A050263