12246
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26544
- Proper Divisor Sum (Aliquot Sum)
- 14298
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 1
- Radical
- 12246
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 187
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = p*(p-1)/2 for p = prime(n).at n=36A008837
- a(n) = 2*n*(4*n + 1).at n=39A033585
- Numbers k such that k | 10^k + 9^k + 8^k + 7^k.at n=27A057214
- Numbers k such that k | 5^k + 4^k + 3^k + 2^k.at n=18A057249
- Numbers n such that n | 7^n + 5^n + 3^n +1.at n=23A057830
- Number of irreducible representations of the symmetric group S_n that have even degree.at n=33A060368
- Triangular numbers with sum of digits = 15.at n=23A068130
- Triangular numbers with arithmetic mean of digits = integer (sum of digits = A multiple of the number of digits).at n=46A069712
- a(n) = smallest k such that (10^k-1)/9 == 0 mod prime(n)^2, or 0 if no such k exists.at n=36A087094
- Numbers n such that the denominator of the 2n-th Bernoulli number is divisible by n but sum_{d|n} sigma(d)/phi(d) is not an integer.at n=9A099008
- Numbers n such that n divides the denominator of 2n-th Bernoulli number.at n=31A106741
- a(n) = n*(n+1)*(n^2+n+1)/2.at n=12A110450
- Least triangular number divisible by n-th prime.at n=36A112456
- Triangular numbers for which the sum of the digits is a hexagonal number.at n=33A117309
- Numbers k such that A128162(k) is prime.at n=23A128163
- Least number k > 0 such that k^n does not divide the denominator of generalized harmonic number H(k,n) nor the denominator of alternating generalized harmonic number H'(k,n).at n=52A128670
- Triangular numbers which are the average of two consecutive primes.at n=34A130178
- a(n) = 3*n*(6*n + 1).at n=26A144314
- Trajectory of 8 under iteration of the map k -> A087712(k).at n=24A144813
- a(n) = A185128(n) + A185129(n).at n=6A185243