5303
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5304
- 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
- 5302
- Möbius Function
- -1
- Radical
- 5303
- 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
- 147
- 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
- 703
- 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=42A006562
- Molien series for A_7.at n=38A008630
- a(n) = prime(n*(n+1)/2).at n=36A011756
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=45A023247
- 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=22A031569
- Primes of form x^2+86*y^2.at n=28A033255
- Denominators of continued fraction convergents to sqrt(407).at n=6A041773
- Primes whose consecutive digits differ by 2 or 3.at n=33A048414
- p(n+1) is next smallest prime beginning with p(n), initial prime is 5.at n=2A048551
- Euclid-Mullin sequence (A000945) with initial value a(1)=79 instead of a(1)=2.at n=17A051326
- Primes p such that p-6, p and p+6 are consecutive primes.at n=37A053070
- Prime number spiral (clockwise, Southwest spoke).at n=13A054568
- a(n) = T(n,n-6), array T as in A055801.at n=24A055806
- Primes that are the sum of five consecutive composite numbers.at n=40A060330
- Integer part of (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=41A062492
- Append more digits to the n-th prime (leading zeros are permitted) until another prime is reached.at n=15A064792
- Initial terms of groups in A075639.at n=37A075641
- First row of square array A082011.at n=37A082012
- Balanced primes (A090403) of index 2.at n=33A096706
- Numerators of "Farey fraction" approximations to Pi.at n=41A097545