12134
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18204
- Proper Divisor Sum (Aliquot Sum)
- 6070
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6066
- Möbius Function
- 1
- Radical
- 12134
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Initial pile sizes that guarantee a win for player 2 in a variant of Fibonacci Nim where the players may not take one stone.at n=39A052492
- Numbers n such that for some k and a_1,a_2,...,a_k the concatenation of the a_i is equal to n and their product is equal to pi(n).at n=42A097221
- Center column a(2n,n) of A106597.at n=6A118650
- Where record values of A119999 occur.at n=35A120001
- Cardinality of the free modular lattice generated by two elements and a chain of length n.at n=5A128941
- Numbers k such that the string k modulo 1000 is found at position k in the decimal digits of Pi.at n=34A153226
- Triangular matrix T that satisfies: T^3 - T^2 + I = SHIFT_LEFT(T), as read by rows.at n=38A185620
- Column 2 of triangular matrix T = A185620, which satisfies: T^3 - T^2 + I = SHIFT_LEFT(T).at n=6A185622
- Poly-Cauchy numbers of the second kind hat c_n^(-5).at n=4A223904
- Poly-Cauchy numbers of the second kind hat c_4^(-n).at n=4A223907
- Words over an alphabet of size 9 that are in standard order with at least one letter repeated.at n=43A273977
- Solutions x to the negative Pell equation y^2 = 72*x^2 - 83232 with x,y >= 0.at n=11A281239
- Array read by ascending antidiagonals: A(n, k) is the number of (n, k)-poly-Cauchy permutations.at n=50A344639
- G.f. A(x) satisfies 1/x = Sum_{n=-oo..+oo} A(x)^(3*n) * (A(x)^n - 1)^(2*n).at n=6A378574
- Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. Sum_{j>=0} (j+1)^k * (-log(1-x))^j / j!.at n=49A383064