5107
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
- 2
- Divisor Sum
- 5108
- 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
- 5106
- Möbius Function
- -1
- Radical
- 5107
- 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
- 178
- 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
- 683
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=40A006562
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=38A029705
- 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 71.at n=6A031569
- Lists of 4 primes in arithmetic progression; common difference 6.at n=13A033449
- Prime substrings of prime numbers in A037272.at n=11A037299
- Trajectory of 8 under prime factor concatenation procedure.at n=45A037920
- Primes p such that x^23 = 2 has no solution mod p.at n=32A040984
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=13A045075
- Primes with first digit 5.at n=30A045711
- Discriminants of imaginary quadratic fields with class number 7 (negated).at n=29A046004
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=17A046122
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=36A047948
- Primes p from A031924 such that A052180(primepi(p)) = 19.at n=6A052235
- Primes p such that p-6, p and p+6 are consecutive primes.at n=35A053070
- a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.at n=35A053521
- Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=3A054801
- Engel expansion of log(10) = 2.30259...at n=12A059182
- Primes p such that x^37 = 2 has no solution mod p.at n=18A059223
- Primes p such that p^7 reversed is also prime.at n=33A059700
- Primes p such that p^12 reversed is also prime.at n=14A059705