3426
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6864
- Proper Divisor Sum (Aliquot Sum)
- 3438
- 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
- 1140
- Möbius Function
- -1
- Radical
- 3426
- 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
- 30
- 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
- Coordination sequence T1 for Scapolite.at n=37A008262
- Coordination sequence for sigma-CrFe, Position Xd.at n=15A009959
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=4.at n=15A022309
- Convolution of (1, p(1), p(2), ...) and (F(2), F(3), F(4), ...).at n=12A023628
- Number of 9's in all partitions of n.at n=35A024793
- 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=33A028423
- 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=7A031556
- Main diagonal of Inverse Stolarsky array.at n=6A035509
- Denominators of continued fraction convergents to sqrt(887).at n=9A042715
- Base-5 palindromes that start with 1.at n=39A043006
- Numbers whose base-15 representation has exactly 4 runs.at n=33A043671
- Numbers n such that string 2,6 occurs in the base 10 representation of n but not of n-1.at n=38A044358
- Numbers n such that string 2,6 occurs in the base 10 representation of n but not of n+1.at n=38A044739
- Expansion of g.f. (1+x)*Product_{m>0} (1 + x^m).at n=44A052816
- Binary encodings of the Catalan mountain ranges with exactly one sea-level valley, i.e., the rooted plane trees with root degree = 2.at n=45A057517
- a(0) = 1, a(1) = 4; for n >= 2 a(n) is the number of degree-n monic reducible polynomials over GF(4), i.e., a(n) = 4^n - A027377(n).at n=6A058819
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of 8 musical tones: 8/7 16/11 5/4 4/3 3/2 8/5 11/8 7/4.at n=34A060527
- (Prime(n)# - 4)/2 is prime, where x# is the primorial A034386(x).at n=28A067026
- Numbers k such that phi(k) = phi(sigma(k)-k).at n=42A067880
- Least k such that Sum_{i=1..k} (prime(i) + prime(i+2) - 2*prime(i+1)) = 2n + 1.at n=24A073051