5802
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11616
- Proper Divisor Sum (Aliquot Sum)
- 5814
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1932
- Möbius Function
- -1
- Radical
- 5802
- 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
- 23
- 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
- Numbers k such that 9*2^k + 1 is prime.at n=32A002256
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=33A015633
- n-th Lucas number (A000204(n)) + n-th non-Lucas number (A090946(n+1)).at n=17A022801
- Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers.at n=30A023192
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number A000204 > 1) and d(n) = (n-th non-Fibonacci number).at n=16A023485
- Duplicate of A022801.at n=17A023492
- a(n) = Sum_{k=0..n} A026626(n, k).at n=12A026633
- a(n) = Sum_{k=0..floor(n/2)} A026626(n, k).at n=13A026634
- Numbers whose base-2 representation has exactly 12 runs.at n=11A043579
- Number of nonnegative integer 3 X 3 matrices with sum of elements equal to n, under action of dihedral group of the square D_4.at n=10A054343
- McKay-Thompson series of class 18E for Monster.at n=17A058535
- Numbers which are the sum of their proper divisors containing the digit 9.at n=14A059468
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=25A059954
- Sum of prime factors of Lucas numbers A000032(n),n=0, n>=2, with n=1 term added.at n=27A070827
- The (n!)-th composite number.at n=6A073167
- a(n) is the floor of the average of the 1st moment of all previous entries.at n=16A092483
- Number of iterations of the sine function to be less than 1/n with an initial argument of Pi/2 radians.at n=43A092906
- Triangle T, read by rows, such that diagonal n equals column 0 of T^(n+1), the (n+1)-th matrix power of T.at n=41A098447
- Number of self-dual combinatorial configurations of type (n_3).at n=14A100001
- G.f. A(x) satisfies: A(x)^2 = A(x^2) + 4*x.at n=11A107087