12042
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 14838
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3996
- Möbius Function
- 0
- Radical
- 1338
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- a(n) = 10000*log_10(n) rounded up.at n=15A004230
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 4 (mod 5).at n=54A035576
- Sum of the next n members of the list of twin primes.at n=11A038345
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=36A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=29A038857
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=35A086120
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=43A097870
- a(n) = n*(19*n-15)/2.at n=36A226490
- Numbers n such that n is both the average of some twin prime pair p, q (q = p+2) (i.e., n = p+1 = q-1) and is also the arithmetic mean of the four numbers consisting of the two primes before p and the two primes after q.at n=25A256620
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 1.at n=36A259577
- Pisot sequence E(31,51), a(n)=[a(n-1)^2/a(n-2)+1/2].at n=12A275628
- Least number k = concat(x,y) such that k = n*x*y - x - y, -1 if such a number does not exist.at n=22A278935
- Numbers k such that 4*10^k + 79 is prime.at n=21A281645
- Number of n X n 0..1 arrays with every element equal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A300366
- Number of nX7 0..1 arrays with every element equal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=6A300371
- A triple of positive integers (n,p,k) is admissible if there exist at least two different multisets of k positive integers, {x_1,x_2,...,x_k} and {y_1,y_2,...,y_k}, such that x_1+x_2+...+x_k = y_1+y_2+...+y_k = n and x_1x_2...x_k = y_1y_2...y_k = p. For each n, let A(n) = {(p,k):(n,p,k) is admissible for some k}; then a(n) = |A(n)|.at n=42A334246
- Number of compositions (ordered partitions) of n into at most 5 prime powers (including 1).at n=35A347775
- Midpoints k of a pair of twin primes such that sigma(k) is also the midpoint of a pair of twin primes.at n=23A349981
- a(n) is the largest number that is not the sum of distinct centered n-gonal numbers.at n=11A352349
- Number of solid partitions of n with 4 parts.at n=34A387997