3423
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
- 5248
- Proper Divisor Sum (Aliquot Sum)
- 1825
- 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
- 1944
- Möbius Function
- -1
- Radical
- 3423
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code FER.at n=36A008106
- Ceiling of Gamma(n+6/7)/Gamma(6/7).at n=7A020119
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=30A024843
- 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 38.at n=23A031536
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=37A035541
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=32A039892
- Numbers n such that string 2,3 occurs in the base 10 representation of n but not of n-1.at n=38A044355
- Numbers n such that string 2,3 occurs in the base 10 representation of n but not of n+1.at n=38A044736
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=16A044886
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=10A045127
- a(1) = 1, a(2) = 3; for n>2, a(n) = least value > a(n-1) such that pairwise differences are unique.at n=43A051788
- a(n) = 4*n^2 - 6*n + 3.at n=29A054569
- Numbers n such that x^n + x^11 + 1 is irreducible over GF(2).at n=26A057481
- McKay-Thompson series of class 48A for Monster.at n=47A058691
- Numbers k such that 2*3^k - 7 is prime.at n=23A059454
- Each permutation in the list A060117 converted to Site Swap notation, with "zero throws" (fixed elements) replaced with n, the length of siteswap.at n=22A060495
- Consider biquanimous numbers that exclude 0's; sequence gives number of n-digit non-biquanimous numbers - number of n-digit biquanimous numbers.at n=3A065025
- a(n) is the smallest m > n such that n^2 + 1 divides m^2 + 1.at n=59A065876
- Interprimes (A024675) which are of the form s*prime, s=21.at n=16A075296
- Minimal m such that n^n-m and n^n+m are both primes, or -1 if there is no such m.at n=24A075468