3359
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3360
- 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
- 3358
- Möbius Function
- -1
- Radical
- 3359
- 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
- 136
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 473
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Worst cases for Pierce expansions (denominators).at n=20A006538
- Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.at n=11A006978
- Array (a frieze pattern) defined by a(n,k) = (a(n-1,k)*a(n-1,k+1) - 1) / a(n-2,k+1), read by antidiagonals.at n=34A007754
- Coordination sequence T1 for Zeolite Code NES.at n=37A008205
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=19A014424
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T6 atom.at n=11A019163
- Let q_k=p(p+2) be product of k-th pair of twin primes; sequence gives values of p such that (q_k)^2 > q_{k-i}q_{k+i} for all 1 <= i <= k-1.at n=30A021005
- a(n) = 1^2 + prime(1)^2 + prime(2)^2 + ... + prime(n)^2.at n=11A024525
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=33A024920
- a(n) = Sum_{k=1..n} floor((n/k)*floor(n/k)).at n=45A024921
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=19A025024
- Primes of form k^2 - 5.at n=16A028877
- Palindromic primes in base 15.at n=35A029982
- Primes p whose digits do not appear in p^2.at n=39A030086
- 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 57.at n=12A031555
- Upper prime of a difference of 12 between consecutive primes.at n=34A031931
- From a Dirichlet series.at n=10A035209
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 4 (mod 5).at n=45A035576
- Start of a string of exactly 3 consecutive (but disjoint) pairs of twin primes.at n=3A035791
- Primes p such that x^23 = 2 has no solution mod p.at n=23A040984