12426
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26400
- Proper Divisor Sum (Aliquot Sum)
- 13974
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 1
- Radical
- 12426
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 125
- 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
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 3).at n=49A035537
- T(n,n+3), array T as in A047089.at n=7A047097
- Positions of 4-digit terms in the continued fraction for Pi (3 is at position 0).at n=11A048959
- a(n) = 10*n^2 + 5*n + 1.at n=35A080860
- Number of partitions of 1 into fractions i/j with 1<=i<j<=n and i,j coprime.at n=17A115855
- "666" in bases 7 and higher rewritten in base 10.at n=38A121205
- a(n) = prime(n)*(prime(n+1) + 1).at n=28A123134
- G.f. x^4*(2*x^2-1)/( (x^2-1)*(x^2+x-1)*(2*x^3-2*x^2+2*x-1) ).at n=21A175378
- Expansion of (1+3*x+9*x^2+9*x^3+9*x^4+3*x^5+x^6) /( (1+x)^2 * (1-x)^5 ).at n=13A175898
- a(n) = (n^3 - 3n^2 + 14n - 6)/6.at n=42A180415
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 1..n-1.at n=46A180784
- a(n) = (35*n^4 - 35*n^3 + 55*n^2 - 25*n + 6)/6.at n=6A181343
- Numbers n such that 4^n-3^(n-1) is prime.at n=15A271884
- Number of terms in the fully expanded n-th derivative of x^(x^x).at n=26A281434
- Fixed points of A347113.at n=19A347314
- Indices of primes of the form p = 2^i + 2^j + 1, i > j > 0 (A081091).at n=32A360448
- Products k of 4 distinct primes (or tetraprimes) such that k has no squarefree neighbors.at n=8A364141
- Products k of 4 distinct primes (or tetraprimes) such that none of k-2, k-1, k+1 and k+2 is squarefree.at n=4A364766
- Lesser of 2 successive tetraprimes (k, k+4) sandwiching three consecutive not squarefree numbers.at n=2A367791
- T(n,k) is the total number of levels in all Dyck paths of semilength n containing exactly k path nodes; triangle T(n,k), n>=0, 1<=k<=n+1, read by rows.at n=59A371928