13363
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 2765
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10824
- Möbius Function
- -1
- Radical
- 13363
- 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
- 94
- 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
- Coordination sequence for alpha-Mn, Position Mn1.at n=30A009950
- Quasi-Carmichael numbers to base 3: squarefree composites n such that prime p|n ==> p-3|n-3.at n=7A029560
- Numbers whose set of base-16 digits is {3,4}.at n=18A032840
- The array in A059219 read by antidiagonals in 'up' direction.at n=47A059220
- The array in A059219 read by antidiagonals in the direction in which it was constructed.at n=47A059235
- Numbers k such that 5*6^k - 1 is prime.at n=20A079906
- Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=29A111078
- Records in A117677.at n=42A117679
- Products of 3 distinct safe primes.at n=33A157354
- Number of reduced words of length n in the Weyl group D_7.at n=15A162210
- Number of reduced words of length n in the Weyl group D_7.at n=27A162210
- a(n) = (2*n^3 + 5*n^2 - 11*n)/2.at n=22A162257
- Number of -5..5 arrays x(0..n-1) of n elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative.at n=5A199895
- T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative.at n=50A199898
- Number of -n..n arrays x(0..5) of 6 elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative.at n=4A199901
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,0,1,1,0,0 for x=0,1,2,3,4,5,6.at n=4A202762
- Number of length 4+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=29A248437
- Number of necklaces with n beads colored white or red, where the number of white beads is odd and at least three and turning over is allowed.at n=17A263768
- G.f.: 1/((1-t^9)^2*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^11)*(1-t^13)*(1-t^15)*(1-t^17)).at n=63A266749
- Decimal numbers m such that the product of the binary string of m and the binary string of m in reverse contains the binary string of m as a substring.at n=35A342130