12350
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 26040
- Proper Divisor Sum (Aliquot Sum)
- 13690
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2470
- Omega Function (Ω)
- 5
- 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
- 143
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 unrooted triangulations of a disk with one internal node and n+3 nodes on the boundary.at n=9A005503
- a(n) = n*(n+5)*(n+6)*(n+7)/24.at n=19A005587
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=42A005919
- a(0) = 1, a(n) = 28*n^2 + 2 for n>0.at n=21A010018
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=48A024868
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=49A026052
- Numbers k in which the digits of k^2 appear.at n=20A029774
- Number of winning length n strings with a 2-symbol alphabet in "same game".at n=14A035615
- Numbers k such that k | sigma_6(k).at n=38A055710
- G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 5.at n=36A091773
- Least k such that k*M#(n) + 1 is prime where M#(n) is the product of the first n Mersenne primes = Product_{j=1..n} A000668(j).at n=19A098920
- a(0)=0; a(1)=2. Slowest increasing sequence where every digit "d" has a copy of itself in a(n+d).at n=20A102150
- Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.at n=28A114166
- Numbers k such that 2^(k+1) + 3^k is prime.at n=47A123924
- G.f. A(x) satisfies A(x) = 1 + x*A(x)^5*A(-x)^4.at n=9A143554
- Multiples of 19 whose digit reversal - 1 is also a multiple of 19.at n=28A166399
- a(n) = 19*n*(n+1).at n=25A173309
- Numbers n such that 6n and 12n are both the average of twin prime pairs.at n=22A177680
- Least m>0 such that prime(n) divides S(m)=A007908(m)=123...m and all numbers obtained by cyclic permutations of its digits; 0 if no such m exists.at n=23A181373
- Number of (n+1) X 3 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors.at n=38A206261