8053
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8054
- 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
- 8052
- Möbius Function
- -1
- Radical
- 8053
- 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
- 70
- 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
- 1012
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 87.at n=3A020426
- Primes that are palindromic in base 7.at n=27A029975
- Number of ways to partition n labeled elements into sets of different sizes of at least 2 and order the sets.at n=9A032013
- Denominators of continued fraction convergents to sqrt(937).at n=11A042813
- Base-7 palindromes that start with 3.at n=33A043017
- Numbers having four 1's in base 6.at n=35A043376
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=18A045132
- Primes with first digit 8.at n=21A045714
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=29A052029
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=43A052231
- First member of a prime triple in a p^2 + p - 1 progression.at n=36A057324
- Primes p such that x^61 = 2 has no solution mod p.at n=17A059230
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=46A068896
- a(1) = 9; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A074345
- Primes p such that sum of even digits of p equals sum of odd digits of p.at n=38A076167
- Smallest primes such that a(j) - a(k) are all different.at n=42A079848
- Primes arising as A093929(n)*A093929(n+1)+2.at n=35A093930
- Number of Motzkin n-paths with an even number of up steps.at n=12A107587
- a(n) = Sum_{k=1..phi(n)-1} t(n,k)*t(n,k+1), where t(n,k) is the k-th positive integer which is coprime to n and phi(n) is the number of positive integers which are <= n and are coprime to n.at n=37A119584
- Prime sums of 5 positive 5th powers.at n=22A123034