5367
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7160
- Proper Divisor Sum (Aliquot Sum)
- 1793
- 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
- 3576
- Möbius Function
- 1
- Radical
- 5367
- 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
- 72
- 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
- Worst case of a Jacobi symbol algorithm.at n=6A005827
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=27A015724
- Fibonacci sequence beginning 2, 13.at n=14A022116
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 48.at n=23A031546
- Concatenation of n-th prime number and n-th lucky number.at n=15A032603
- Numbers whose set of base-12 digits is {1,3}.at n=25A032919
- Numbers k such that the k-th Fibonacci number reversed is prime.at n=23A036971
- Numerators of continued fraction convergents to sqrt(559).at n=6A042070
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=32A045127
- Column 9 of triangle A055907.at n=4A055915
- Number of partitions of n with nonnegative rank.at n=32A064174
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=21A073775
- Numbers k such that p=k^2+2 and p+2 are primes.at n=50A086381
- Index k of the first occurrence of A019565(2n-1) as the smallest term that makes prime(k)-A019565(2n-1) prime.at n=20A103792
- Shorthand of n-th smallest n-digit prime, see comments.at n=43A107108
- Numbers k such that the decimal digits of phi(k) are a permutation of those of k.at n=10A115921
- Number of permutations of length n which avoid the patterns 123, 3142, 4312; or avoid the patterns 123, 3421, 4231.at n=30A116721
- Sequence of which A078783 is the Recamán transform.at n=35A117073
- a(n)=(n^5-n-30)/30.at n=11A131211
- G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^(-3n) )...)^-9)^-6)^-3.at n=5A138209