5206
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8280
- Proper Divisor Sum (Aliquot Sum)
- 3074
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2448
- Möbius Function
- -1
- Radical
- 5206
- 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
- 103
- 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
- a(n) = floor(n*(n-1)*(n-2)/24).at n=51A011842
- Number of ferrites M_8Y_n that repeat after 6n+40 layers.at n=15A011963
- Denominators of continued fraction convergents to sqrt(52).at n=7A041089
- a(n) = Sum_{i=0..n} T(i,n-i) where T is A049627.at n=36A049628
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=16A049903
- McKay-Thompson series of class 18e for the Monster group.at n=36A058543
- Numbers k such that sigma(k) - phi(k) is a cube.at n=26A062385
- Smallest k such that n^8+k^8, n^4+k^4, n^2+k^2, n+k are simultaneously prime.at n=20A071564
- Expansion of (1+3x^2)/(1-x-9x^5).at n=15A098525
- a(n) is the decimal equivalent of the binary number whose k-th least significant bit is 1 iff k is a prime number and k <= n.at n=12A100634
- a(n) is the decimal equivalent of the binary number whose k-th least significant bit is 1 iff k is a prime number and k <= n.at n=15A100634
- a(n) is the decimal equivalent of the binary number whose k-th least significant bit is 1 iff k is a prime number and k <= n.at n=14A100634
- a(n) is the decimal equivalent of the binary number whose k-th least significant bit is 1 iff k is a prime number and k <= n.at n=13A100634
- McKay-Thompson series of class 36b for the Monster group.at n=36A112173
- Numbers k such that Fibonacci(prime(k)) is prime.at n=30A119984
- Number of permutations of some {1,2,...,k} in which the sum of the positions of the right-to-left minima is n.at n=8A143948
- a(n) is the n-th J_6-prime (Josephus_6 prime).at n=16A163786
- Expansion of 1/(1 - x - x^10 - x^19 + x^20).at n=52A175740
- Number of Dyck paths of semilength n for which the multiset of ascent lengths and the multiset of descent lengths are the same partition of n.at n=10A179544
- a(n) = A057641(A094348(n)).at n=26A181852