13442
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 10750
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5520
- Möbius Function
- 1
- Radical
- 13442
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- yes
- Odd
- no
Appears in sequences
- Number of irreducible alternating Euler sums of depth 6 and weight 6+2n.at n=21A011796
- Triangle read by rows: T(n,k) = number of 2 X inf arrays [ n, n1, n2, ...; k, k1, k2,... ] with n>=n1>n2>...>=0, k>=k1>k2...>=0, n>k, n1>k1, ...; n >= 1, k >= 0. Note that once ni or ki = 0, the strict inequalities become equalities (constant 0 thereafter).at n=41A039597
- Distinct numbers in writing first numerator and then denominator of each element of the 1/5-Pascal triangle (by row).at n=53A046608
- First numerator and then denominator of the elements to the right of the central elements of the 1/5-Pascal triangle (by row), excluding 1's and 5's.at n=43A046616
- Numerators of the elements to the right of the central elements of the 1/5-Pascal triangle (by row).at n=57A046618
- Even numbers in the numerators of the 1/5-Pascal triangle (by row).at n=45A046625
- Even numbers in the numerators of the 1/5-Pascal triangle (by row).at n=46A046625
- Distinct even numbers in the numerators of the 1/5-Pascal triangle (by row).at n=25A046626
- Distinct numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=45A046627
- Distinct even numbers in writing numerators of each element to the right of the central elements of the 1/5-Pascal triangle (by row).at n=18A046629
- Numbers n such that { x +- 2^k : 0 < k < 4 } are primes, where x = 210*n - 105.at n=7A061671
- Sequence representing valid nontrivial 1-dimensional Hashi (a.k.a. Bridges or Hashiwokakero) puzzle orientations.at n=37A143964
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, -1), (1, 0, -1), (1, 0, 0)}.at n=11A148039
- Triangle T(n,k) (n >= 0, 0 <= k <= n) read by rows: T(n,0) = T(n,1) = A000984(n); for n >= 2 and k >= 2, T(n,k) = T(n,k-1) - T(n-1,k-2).at n=49A171661
- Number of nondecreasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=35A188212
- Number of 4-element subsets that can be chosen from {1,2,...,4*n} having element sum 8*n+2.at n=20A204468
- Number of nXnXn triangular 0..3 arrays with every horizontal row nondecreasing and having the same average value.at n=6A214901
- T(n,k)=Number of nXnXn triangular 0..k arrays with every horizontal row nondecreasing and having the same average value.at n=42A214906
- Number of 7X7X7 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value.at n=2A214911
- Expansion of 2*(1-x)*(2*x^2+4*x+1) / (1-x-x^2)^2.at n=13A271786