13740
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 38640
- Proper Divisor Sum (Aliquot Sum)
- 24900
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3648
- Möbius Function
- 0
- Radical
- 6870
- 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
- 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 jumping problem.at n=18A002466
- Numbers k such that (2^127-1)*2^k + 1 is prime.at n=14A098126
- Records for terms in the continued fraction of the Glaisher-Kinkelin constant A.at n=6A099791
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 13 for n > 0.at n=6A101011
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 41 for n > 0.at n=21A101143
- Number of conjugacy class of index n subgroups in PSL_2 (ZZ).at n=21A121350
- Smaller side not divisible by 37 of right triangles with integer sides and integer side inscribed squares with two vertices on the hypotenuse.at n=17A123697
- Numbers k for which 2*k-1, 4*k-1, 8*k-1 and 16*k-1 are primes.at n=19A124494
- Number of nX4 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X5 binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order.at n=5A227639
- T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order.at n=39A227641
- T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order.at n=41A227641
- Number of (n+1)X(1+1) 0..3 arrays x(i,j) with every row sum{j*x(i,j), j=1..1+1} equal, and every column sum{i*x(i,j), i=1..n+1} equal, with top left element <= 1.at n=18A232523
- Number of ways two L-tiles can be placed on an n X n square.at n=14A243645
- Numbers n such that 36n+11, 36(n+1)+11, 36(n+2)+11 and 36(n+3)+11 are prime.at n=18A255608
- Indices of zeros in A268819.at n=58A269157
- Number of triangulations of a convex 5-gon in the plane each of whose sides is subdivided by n points.at n=2A282734
- Number of triangulations of a convex n-gon in the plane each of whose sides is subdivided by 2 points.at n=3A282735
- Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)^n.at n=25A292090
- Numbers k such that both k and k+1 are Zeckendorf-Niven numbers (A328208) and lazy-Fibonacci-Niven numbers (A328212).at n=3A330713