3414
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 3426
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1136
- Möbius Function
- -1
- Radical
- 3414
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Squares written in base 5.at n=22A001740
- Number of walks on square lattice.at n=4A005567
- a(n) = F(n+2) - 2^[ (n+1)/2 ] - 2^[ n/2 ] + 1.at n=17A005673
- Coordination sequence T3 for Zeolite Code DOH.at n=36A008080
- Coordination sequence T2 for Zeolite Code LOV.at n=39A008135
- Coordination sequence T4 for Zeolite Code MFS.at n=36A008176
- sec(sinh(x)+arctan(x)) = 1 + 4/2!*x^2 + 72/4!*x^4 + 3414/6!*x^6 + 293944/8!*x^8 + ...at n=3A013066
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T3 atom.at n=11A019188
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=29A023177
- Expansion of 1/((1-2x)(1-3x)(1-7x)(1-9x)).at n=3A025944
- a(n) = A026681(2n,n).at n=6A026682
- T(n,[ n/2 ]), T given by A026681.at n=12A026687
- 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 58.at n=6A031556
- Coordination sequence T2 for Zeolite Code SBE.at n=47A033605
- Molien series for 3-D group X1.at n=16A037240
- Numbers whose base-15 representation has exactly 4 runs.at n=22A043671
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=38A044346
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n+1.at n=38A044727
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 18.at n=35A051983
- Triangle of numbers arising in enumeration of walks on square lattice.at n=22A052175