13182
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28560
- Proper Divisor Sum (Aliquot Sum)
- 15378
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4056
- Möbius Function
- 0
- Radical
- 78
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 244
- 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
- Number of 3-voter voting schemes with n linearly ranked choices.at n=23A007009
- Theta series of A*_12 lattice.at n=28A023924
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 76.at n=27A031574
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 5).at n=48A035552
- Numbers k such that k | 10^k + 9^k + 8^k + 7^k.at n=28A057214
- Numbers k such that k | 11^k + 10^k + 9^k + 8^k.at n=15A057240
- Numbers k such that k | 5^k + 4^k + 3^k + 2^k.at n=20A057249
- Numbers n such that n | 7^n + 5^n + 3^n +1.at n=24A057830
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089869/A089870.at n=11A090827
- a(n) = n^2*binomial(n,2).at n=12A092364
- Numbers of the form (6^i)*(13^j), with i, j >= 0.at n=14A107710
- Triangle read by rows: T(n,m) = Prime[m]^n*(Prime[m] - 1)/2.at n=17A121057
- a(n) = (prime(n)^4 - prime(n)^3)/2.at n=5A138423
- G.f. satisfies: A(x) = 1/(1 - x/(1 - x*A(x))^2)^3.at n=6A161799
- Numbers n such that tau(phi(n))= phi(rad(n)).at n=43A173744
- Mobius transform of A008457.at n=25A190623
- Number of distinct finite languages over 3-ary alphabet, whose minimum regular expression has alphabetic width n.at n=4A211936
- Number of n X 3 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.at n=25A224141
- Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m.at n=42A230624
- a(n) = 6*n^3.at n=13A244726