5351
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5352
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5350
- Möbius Function
- -1
- Radical
- 5351
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 191
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 708
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=33A025024
- Sequence satisfies T^2(a)=a, where T is defined below.at n=52A027585
- 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 73.at n=3A031571
- Nearest integer to n^(5/2).at n=31A036488
- Number of forests of rooted trees where n dollars are spent and an n-node tree costs 2n-1 dollars.at n=20A038000
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=31A048797
- Automorphic primes: p such that p^p ends with the digits of p.at n=38A052228
- Primes of form prime(1) + ... + prime(k) + 1.at n=11A053845
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=30A058272
- Primes with 11 as smallest positive primitive root.at n=26A061324
- Primes for which the three closest primes are smaller.at n=37A074982
- Smallest prime p(k) such that the number of distinct prime divisors of all composite numbers between p(k) and p(k+1) is n.at n=40A075580
- Duplicate of A075580.at n=40A077132
- Expansion of (1-x)/(1+2*x+2*x^2-x^3).at n=16A078068
- Number of primes between n^2 and n^3.at n=38A079648
- Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.at n=11A082888
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=27A089577
- Primes which are also prime if their base 32 representation is interpreted as a base 10 number.at n=34A090716
- Denominator(Bernoulli(n-1) + 1/n)=66, where n runs through the primes.at n=26A090799
- Smallest prime equal to the sum of n distinct pairs of consecutive primes.at n=36A102725