12133
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13248
- Proper Divisor Sum (Aliquot Sum)
- 1115
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11020
- Möbius Function
- 1
- Radical
- 12133
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 24
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=46A000199
- a(n) = Sum{k=0..n} T(n,k), T given by A026747.at n=12A026754
- Expansion of 1/((1-4x)(1-7x)(1-10x)(1-12x)).at n=3A028153
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=35A032767
- Partial sums of primes that are not Chen primes (starting with 1).at n=36A118483
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1010-1111-0010 pattern in any orientation.at n=10A146627
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=37A168254
- Odd numbers producing 5 odd numbers in the Collatz iteration.at n=41A198588
- Odd numbers producing 20 even numbers in the Collatz iteration.at n=36A199818
- Numbers that begin a run of an odd number of consecutive integers whose cubes sum to a square.at n=10A253679
- Zeroless numbers n with digits d_1, d_2, ... d_k such that d_1^3 + ... + d_k^3 is a cube.at n=36A254960
- Words over an alphabet of size 9 that are in standard order with at least one letter repeated.at n=42A273977
- Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=3A281560
- T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=31A281563
- Number of 4Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=4A281566
- Number of enriched r-trees of size n.at n=9A301462
- Number of compositions (ordered partitions) of n into triangular parts (A000217) such that no two adjacent parts are equal (Carlitz compositions).at n=39A301502
- Number of labeled antichain hyperforests spanning a subset of {1,...,n}.at n=6A304918
- Number of partitions of n such that 5*(greatest part) >= (number of parts).at n=33A347869
- Numbers k such that A361338(k) = 8.at n=42A361347