13801
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14212
- Proper Divisor Sum (Aliquot Sum)
- 411
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13392
- Möbius Function
- 1
- Radical
- 13801
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 120
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Related to series-parallel networks.at n=8A006349
- a(n) Sum_{d|n, 1<=d<n} d*A000084(d).at n=26A058352
- a(n) = n^3 - n + 1.at n=24A061600
- The last number for which a determinant of base-n numbers is nonzero.at n=22A079505
- Coefficients of the C-Rogers mod 14 identity.at n=43A105782
- Smallest number k such that k^n is equal to the sum of n consecutive primes, or 1 if it does not exist.at n=44A123112
- Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 3 X 3 which is symmetric after a rotation by 180 degrees.at n=6A123833
- a(n) = n^3 + 71*n + 1.at n=23A124363
- Left border of triangle A137629.at n=30A137631
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=36A144719
- Number of strings of numbers x(i=1..8) in 0..n with sum i^2*x(i)^2 equal to n^2*64.at n=9A184246
- Number of nondecreasing sequences of n 1..7 integers with every element dividing the sequence sum.at n=29A212535
- a(n) = Sum_{i=0..n} digsum_8(i)^4, where digsum_8(i) = A053829(i).at n=18A231683
- Triangle read by rows: T(n,k) = K(n,1)*I(k,1) - (-1)^(n+k)*I(n,1)* K(k,1), where I(n,x) and K(n,x) are Bessel functions; 0<=k<=n.at n=39A246658
- Expansion of g.f. (1-2*x+51*x^2)/(1-x)^3.at n=24A257352
- Expansion of Product_{k>=1} (1-x^k)*(1+x^k)^4.at n=25A261998
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 334", based on the 5-celled von Neumann neighborhood.at n=7A271282
- Number of integers in n-th generation of tree T(3^(-1/3)) defined in Comments.at n=53A274159
- Number of separable partitions of n in which the number of distinct (repeatable) parts is 5.at n=40A325649
- For integers n>=4, greatest integer that can satisfy sqrt((n^2-c)*b^2 + c*(b+1)^2) where b and c are positive integers and c < n^2.at n=44A376007