13582
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 20376
- Proper Divisor Sum (Aliquot Sum)
- 6794
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6790
- Möbius Function
- 1
- Radical
- 13582
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- yes
- Odd
- no
Appears in sequences
- Define sequence S(a_0,a_1) by a_{n+2} is least integer such that a_{n+2}/a_{n+1}>a_{n+1}/a_n for n >= 0. This is S(3,4).at n=16A018908
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=18A031838
- "CGJ" (necklace, element, labeled) transform of 2,2,2,2...at n=7A032147
- Pisot sequence L(6,10).at n=14A048587
- Expansion of (2-x-x^2-x^3)/((1-x)*(1-x^2-x^3)).at n=37A052954
- Let u(1) = u(2) = u(3) = u(4) = 1, u(n+4)*(n+4) = u(n+3)*(n+3)+u(n+2)*(n+2)+u(n+1)*(n+1)+u(n)*n; sequence gives values of n such that u(n) is an integer.at n=14A075832
- Total number of smallest parts in all partitions of n into odd parts.at n=43A092268
- Number of partitions of n into "number of partitions of n into partition numbers" numbers.at n=48A130898
- Number of n X 7 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=5A223837
- Number of 6 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=6A223842
- Smallest k such that both of the consecutive Woodall numbers A003261(k) and A003261(k+1) are divisible by A014662(n), the n-th prime p with even order of 2 mod p.at n=40A287145
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) -1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=40A294867
- Expansion of Product_{i>=1, j>=1} theta_3(x^(i*j)), where theta_3() is the Jacobi theta function.at n=16A308286
- Semiprimes k such that none of k-2, k-1, k+1, and k+2 is squarefree.at n=44A364010