3449
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3450
- 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
- 3448
- Möbius Function
- -1
- Radical
- 3449
- 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
- 149
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 482
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=43A000355
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=25A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=24A000451
- Smallest number that is the sum of 3 squares in at least n ways.at n=25A000451
- Values of m in the discriminant D = -4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k=1..oo} Kronecker(D,k)/k.at n=17A003420
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=23A007700
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=12A007765
- Coordination sequence T1 for Zeolite Code BPH.at n=45A008055
- Coordination sequence T6 for Zeolite Code VNI.at n=36A009912
- Coordination sequence for sigma-CrFe, Position Xc.at n=15A009961
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEL = ZSM-11 Nan[AlnSi96-nO192] starting with a T3 atom.at n=11A019149
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=6A020380
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=24A023280
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 odd positive integers}.at n=12A024205
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=24A025414
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=23A025415
- Upper prime of a difference of 16 between consecutive primes.at n=10A031935
- Primes of form x^2+53*y^2.at n=34A033234
- Primes of form x^2+89*y^2.at n=18A033257
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=42A036439