13533
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
- 8
- Divisor Sum
- 19488
- Proper Divisor Sum (Aliquot Sum)
- 5955
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8304
- Möbius Function
- -1
- Radical
- 13533
- 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
- 138
- 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
- Integers n > 10563 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10563.at n=2A063064
- Row sums of the triangle in A122820.at n=38A077388
- "Fibonacci-digits": start with "11", append sum of first 2 digits to the preceding number, drop first digit.at n=12A093099
- Perimeter of integer triangle (A001611(n), A001611(n+1), A001611(n+2)).at n=18A097280
- Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number.at n=30A118559
- Smallest sum of n consecutive odd primes which is a multiple of n.at n=38A132810
- a(n) = Sum_{k=1..n} k*sigma(k).at n=28A143128
- Number of ways to partition a 3*n X 2 grid into 6 connected equal-area regions.at n=9A167240
- Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.at n=6A196283
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.at n=3A196286
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.at n=48A196287
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.at n=51A196287
- Number of zero-sum -n..n arrays of 5 elements with adjacent element differences also in -n..n.at n=7A202255
- Number of n-digit 9th powers.at n=42A216659
- Number of 4-cycles in the n X n king graph.at n=34A288918
- Number of partitions of n with odd minimal and maximal parts.at n=38A325338