12943
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15144
- Proper Divisor Sum (Aliquot Sum)
- 2201
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10836
- Möbius Function
- 0
- Radical
- 301
- Omega Function (Ω)
- 3
- 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
- 169
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k that divide s(k), where s(1)=1, s(j)=21*s(j-1)+j.at n=32A014872
- a(n) = 7*n^2.at n=43A033582
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=37A035982
- Composites c whose decimal expansion ends with its largest prime factor.at n=31A050693
- Numbers k that divide 8^k + 7^k + 6^k + 5^k + 4^k + 3^k + 2^k.at n=31A057490
- Numbers k such that sigma(k) = phi(k) + phi(k-1).at n=4A067198
- Numbers k such that the squarefree part of k equals A062799(k).at n=25A069551
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=29A070192
- Least m such that P + m is a prime, where P is the n-th perfect number.at n=19A078096
- Number of binary words of length n containing at least one subword 10^{6}1 and no subwords 10^{i}1 with i<6.at n=42A143286
- (0=0, 1=1, 2=2, 3=3, 4=2^2, 5=5, 6=2*3, 7=7, 8=2^3, 9=3^2, 10=2*5, 11=11, 12=2^2*3, ...) becomes (0*0*1, 1*2*2, 3*3*4, 2*2*5, 5*6*2, 3*7*7, 8*2*3, 9*3*2, 10*2*5, 11*11*12, 2*2*3, ...).at n=41A144153
- Numbers n such that there exists x in N : (x+43)^3-x^3=n^2.at n=0A145333
- 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, 0), (-1, 0, -1), (0, -1, 1), (0, 1, 1), (1, 0, 0)}.at n=8A150006
- Number generated by regarding the numbers in row n of A157454 as digits of a base n number.at n=5A157455
- Read n-th row of triangle in A157458 and regard it as the expansion of a number in base n+1.at n=5A157457
- Numbers k which can be split into two numbers x and y such that x^3 + y^2 is a multiple of k.at n=32A162451
- Numbers k which are concatenations k=x//y such that x^2 + y^2 - x*y = k.at n=24A162556
- Partial sums of A160120.at n=37A162778
- Numbers k such that gpf(k^2+1)/k sets a new record of low value, where gpf(k) is the greatest prime dividing k (A006530).at n=20A173561
- The lexicographically earliest sequence such that a(n) - a(n-1) is the largest proper divisor of a(n).at n=20A191614