12327
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 6489
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7032
- Möbius Function
- -1
- Radical
- 12327
- 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
- 156
- 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
- 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 37.at n=39A031535
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 37.at n=2A031715
- Decimal part of cube root of a(n) starts with 1: first term of runs.at n=21A034127
- Numbers k such that x^k + x^4 + 1 is irreducible over GF(2).at n=14A057463
- Antidiagonal sums of table A083050.at n=17A083053
- Number of integer partitions of n with a part dividing all the other parts.at n=35A083710
- Numbers k such that binomial(4k, k) + 1 is prime.at n=28A125241
- Inverse binomial transform of A000594 (assuming offset 0 in both sequences).at n=4A128377
- Maximal number of right triangles in n turns of Pythagoras's snail.at n=34A137515
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 0), (1, 0, 0), (1, 0, 1)}.at n=8A150031
- Numbers k such that 64*k^6 + 1091 is prime.at n=15A155809
- Number of Mersenne number parts in all partitions of n.at n=26A264395
- Number of length-n 0..6 arrays with no following elements greater than or equal to the first repeated value.at n=4A267230
- T(n,k)=Number of length-n 0..k arrays with no following elements greater than or equal to the first repeated value.at n=49A267232
- Number of length-5 0..n arrays with no following elements greater than or equal to the first repeated value.at n=5A267234
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 123", based on the 5-celled von Neumann neighborhood.at n=25A270212
- Indices n such that A272464(n)=1.at n=21A272465
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 913", based on the 5-celled von Neumann neighborhood.at n=20A273768
- a(n) = Sum_{k=1..n} k * tau_3(k), where tau_3 is A007425.at n=43A318750
- Indices of primes followed by a gap (distance to next larger prime) of 32.at n=45A320714