5081
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5082
- 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
- 5080
- Möbius Function
- -1
- Radical
- 5081
- 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
- 41
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 679
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=29A001583
- Number of permutations of length n within distance 2 of a fixed permutation.at n=11A002524
- Numbers that are the sum of 6 positive 6th powers.at n=38A003362
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=36A007354
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=28A007700
- Coordination sequence T4 for Zeolite Code MOR.at n=46A008185
- Molien series for alternating group Alt_8 (or A_8).at n=35A008631
- Expansion of x/(1 - 8*x - 5*x^2).at n=5A015575
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=27A020356
- In base 11, a(n) = sum of digits of Lucas(a(n)).at n=41A025491
- Engel expansion of the golden ratio, (1 + sqrt(5))/2 = 1.61803... .at n=17A028259
- Primes such that in p^2 the parity of digits alternates.at n=35A030145
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=30A043084
- Primes with first digit 5.at n=26A045711
- Primes p such that the decimal digits of p^2 can be partitioned into two or more nonzero squares.at n=20A048646
- a(n)=T(n,n), array T as in A049723.at n=40A049728
- Let b(n) = A050623(n) = smallest n-digit number divisible by 3^n; sequence gives b(n)/3^n.at n=8A050624
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=9A052233
- Primes p whose period of reciprocal equals (p-1)/4.at n=43A056157
- Engel expansion of sqrt(5) = 2.23606...at n=17A059176