5709
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8352
- Proper Divisor Sum (Aliquot Sum)
- 2643
- 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
- 3440
- Möbius Function
- -1
- Radical
- 5709
- 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
- 28
- 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
- no
- Odd
- yes
Appears in sequences
- Number of primes p between powers of 2, 2^n < p <= 2^(n+1).at n=16A036378
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-1)/2.at n=19A047175
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-2)/2.at n=19A047186
- Smallest palindrome greater than n in bases 2 and n.at n=33A056749
- Nearest integer to log(n^n)^(1 + log(log(1 + n))).at n=19A062480
- Composites for which the row of the prime-composite array (A063173) includes the leftmost element of both a zero-only antidiagonal and a zero-only diagonal(A067681).at n=36A063176
- Numbers n such that both n^4 + 2 and n^4 - 2 are prime.at n=28A071351
- Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n-2). r and s are positive integers.at n=37A085950
- Structured pentakis dodecahedral numbers (vertex structure 6).at n=8A100173
- a(1) = 1 thereafter a(n) = Sum_{k=1..n-1} ceiling(a(n-k)/k).at n=18A100482
- Numbers n such that A001414(n) is a golden semiprime, where A001414 is the sum of primes dividing n (with repetition).at n=38A108219
- Sequence a(n) defined as follows: let p(0) = 2 be the first prime; then p(n+1) = least prime of the form a(n)*p(n)*(a(n)*p(n)+1)-1.at n=12A120393
- Positive integers whose binary representation is a palindrome and has a prime number of 1's.at n=48A144753
- Number of n X n binary arrays with all ones connected only in a 101-111-101 pattern in any orientation.at n=7A146429
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 101-111-101 pattern in any orientation.at n=17A146431
- a(n) = the number of noncomposites (primes or 1) that are n digits long when written in binary.at n=16A162145
- Number of partitions of n with distinct occurrences of parts.at n=43A166239
- Products of 3 distinct primes whose binary expansion is palindromic.at n=29A168355
- Partial sums of A057429.at n=23A172512
- A transform of the central binomial coefficients.at n=10A186335