3424
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6804
- Proper Divisor Sum (Aliquot Sum)
- 3380
- 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
- 1696
- Möbius Function
- 0
- Radical
- 214
- Omega Function (Ω)
- 6
- 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
- 105
- 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
- yes
- Odd
- no
Appears in sequences
- Almost trivalent maps.at n=3A002006
- Number of trees with n nodes and 2-colored internal (non-leaf) nodes.at n=10A004114
- Coordination sequence T1 for Zeolite Code DOH.at n=36A008078
- Coordination sequence T7 for Zeolite Code EUO.at n=36A008102
- Coordination sequence for diamond.at n=37A008253
- a(n) = (5*n^2 + 1)*n^2 / 6.at n=8A008354
- Expansion of e.g.f. exp(x + tan(x)).at n=7A009284
- Coordination sequence T1 for Zeolite Code ZON.at n=41A009919
- Coordination sequence for CaF2(2), F position.at n=37A009925
- Expansion of e.g.f.: exp(arcsin(tan(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+76/5!*x^5...at n=7A012075
- E.g.f.: sinh(arcsin(tan(x)))=x+4/3!*x^3+76/5!*x^5+3424/7!*x^7+285136/9!*x^9...at n=3A012080
- Expansion of tan(arcsin(sinh(x))) (odd powers only).at n=3A012101
- Expansion of e.g.f. exp(arctanh(sinh(x))).at n=7A012261
- Numbers k such that phi(k) + 5 | sigma(k).at n=7A015796
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=13A020391
- Clog sequence in base 2. Right to left concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=31A028423
- Expansion of (theta_3(z)*theta_3(17z)+theta_2(z)*theta_2(17z))^4.at n=38A028636
- Expansion of (theta_3(z)*theta_3(17z)+theta_2(z)*theta_2(17z))^4.at n=42A028636
- 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 29.at n=13A031527
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=36A031792