5869
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5870
- 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
- 5868
- Möbius Function
- -1
- Radical
- 5869
- 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
- 142
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 773
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=35A005735
- Primes that are palindromic in base 2 (but written here in base 10).at n=22A016041
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=7A031822
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=28A031896
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=31A031901
- Lower prime of a difference of 10 between consecutive primes.at n=73A031928
- Number of connected functions of n points with no symmetries.at n=12A032175
- Primes with indices that are primes with prime indices.at n=32A038580
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=24A043079
- Primes whose consecutive digits differ by 2 or 3.at n=36A048414
- Primes whose sum of digits is the perfect number 28.at n=7A048517
- Primes prime(k) for which A049076(k) = 3.at n=21A049079
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=33A052354
- Numbers k such that 3*2^k + 5 is prime.at n=43A057913
- Primes p such that p and p^2 have same digit sum.at n=13A058370
- Primes p such that p^8 reversed is also prime.at n=36A059701
- Primes of the form sum 6d/(2 + mu(d)) for some k and all d dividing k.at n=17A069548
- Primes p such that sum of even digits of p equals sum of odd digits of p.at n=26A076167
- a(n) = smallest prime p_k such that the n successive differences between the primes p_k through p_(k+n) are all distinct.at n=9A079007
- Primes indexed by A078515; i.e., primes which start record runs of consecutive primes with distinct first differences.at n=7A079889