13690
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25326
- Proper Divisor Sum (Aliquot Sum)
- 11636
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5328
- Möbius Function
- 0
- Radical
- 370
- Omega Function (Ω)
- 4
- 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
- 151
- 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) = 10*n^2.at n=37A033583
- Values of A038007 not ending in 6 or 8.at n=27A038009
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=25A090789
- Triangle read by rows: reversed partial sums of Narayana triangle rows.at n=49A104710
- G.f. A(x) satisfies: A(x)^3 equals the g.f. of A110640, which consists entirely of numbers 1 through 9.at n=20A112573
- Numbers of the form (square + 1) that are not squarefree.at n=13A124809
- Numbers such that the two adjacent integers are a perfect square and a prime.at n=43A163492
- Numbers n with property that n^2 is a sum of some 120 successive primes.at n=5A166262
- (Round(c^prime(n)) - 1)/prime(n), where c is the tetranacci constant (A086088).at n=4A239544
- The curvature of touching circles inscribed in a special way in the larger segment of circle of radius 10/9 divided by a chord of length 4/3.at n=3A247335
- a(n) = 9*n^2 + 1.at n=39A247792
- Indices of prime Fibonacci 6-step numbers, A001592.at n=8A249635
- Numbers that are multiple-digit narcissistic numbers in exactly three bases.at n=28A256362
- Numbers of the form m^2 + 1 that can be expressed in more than one way as j^2 + k^2 with j > k > 1.at n=17A299708
- a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k.at n=9A321191
- Numbers between a power and a prime.at n=48A329582
- First differences of A307632.at n=27A348773
- a(n) = A348773(2*n).at n=13A348775
- Number of partitions of set [n] in a set of <= k noncrossing subsets. Number of Dyck n-paths with at most k peaks. Both with 0 <= k <= n, read by rows.at n=61A349740
- a(n) = Sum_{k=0..n} binomial(n*k,n+k).at n=4A359842