12036
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 18204
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3712
- Möbius Function
- 0
- Radical
- 6018
- 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
- 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
- Base-9 Armstrong or narcissistic numbers, written in base 9.at n=15A010352
- Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=3A023082
- Even 9-gonal (or enneagonal) numbers.at n=29A028992
- a(n) = (2*n+1)*(7*n+1).at n=29A033572
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=34A046127
- Starting from generation 7 add previous and next term yielding generation 8.at n=24A048454
- Numbers k such that k and k+1 are modest (cf. A054986).at n=11A055018
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=35A066961
- Enneagonal numbers for which the product of the digits is also an enneagonal number.at n=18A117052
- a(0)=1, a(1)=6, a(n) = 7*a(n-1) - 2*a(n-2).at n=5A122074
- a(n) = tau(n) * (NumberOfPartitions(n) - 1).at n=27A141668
- Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.at n=8A207724
- Numbers k such that 3^k + 100 is prime.at n=43A219618
- Number of unimodal compositions of n where the maximal part appears three times.at n=33A226541
- Triangular array read by rows, arising from enumeration of binary words containing n 0's and k 1's that avoid the pattern 1011101.at n=36A239103
- Lexicographically last sequence such that every odd prime is the sum of at least two terms of the sequence.at n=15A242261
- Triangular array read by rows, arising from enumeration of binary words containing n 0's and k 1's that avoid the pattern 0100010.at n=36A246971
- Number of (n+1) X (5+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=5A250780
- Number of (6+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=4A250788
- a(n) = the number of ways that at least two distinct primes <= prime(n) sum to a prime.at n=14A262765