12207
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
- 8
- Divisor Sum
- 17584
- Proper Divisor Sum (Aliquot Sum)
- 5377
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- -1
- Radical
- 12207
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 156
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k that divide s(k), where s(1)=1, s(j)=3*s(j-1)+j.at n=5A014850
- Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.at n=40A014857
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=9A045152
- Numbers k that divide 7^k + 5^k.at n=25A045596
- Numbers that are the product of 3 prime factors whose concatenation is a palindrome.at n=26A046452
- n plus a googol is prime.at n=37A049014
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=26A057260
- a(n) = floor(Product_{i=1..n} log(prime(i+1))/log(i+1)).at n=25A089223
- a(n) = (5^(2^n) - 1)/2^(n+2).at n=3A097421
- Number of compositions of n+2 having exactly two parts equal to 1.at n=16A105423
- sigma(n) + n is a cube.at n=6A114070
- Number of unlabeled connected simple graphs with n nodes of degree 4 or less.at n=9A121941
- a(n) = n*(8*n+1).at n=39A139275
- Number of distinct values of the sum of i^2 over 9 realizations of i in 0..n.at n=37A225276
- Number of partitions p of n such that (number of even numbers in p) is a part of p.at n=36A241544
- Numbers m such that there are precisely 7 groups of order m.at n=43A249550
- Number of partitions of n for which the number of even parts is equal to the positive alternating sum of the parts.at n=49A277579
- Number of n X 2 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=8A279971
- Products of three distinct primes p1, p2 and p3 (sphenic numbers) with p1<p2 and p3 is the concatenation of p1 with p2.at n=5A281592
- a(n) = Sum_{d|n} lcm(sigma(d), pod(d)) where sigma(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955).at n=11A334794