10303
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10304
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10302
- Möbius Function
- -1
- Radical
- 10303
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- 1264
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=32A002383
- Primes of form (p^x - 1)/(p^y - 1), p prime.at n=18A003424
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=32A004927
- Prime numbers that are the sum of the divisors of some n.at n=13A023195
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=30A023285
- Primes that remain prime through 4 iterations of function f(x) = 5*x + 6.at n=6A023315
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=45A025504
- Primes arising in A048969.at n=30A048977
- Primes arising in A048969.at n=32A048977
- Primes of the form p^2 + p + 1 when p is prime.at n=8A053183
- McKay-Thompson series of class 20d for Monster.at n=46A058559
- Primes which can be written as (b^k+1)/(b+1) for positive integers b and k.at n=39A059055
- Primes p such that p^10 reversed is also prime.at n=40A059703
- a(n) = p^2 + p + 1 where p runs through the primes.at n=25A060800
- Primes whose sum of digits is 7.at n=31A062337
- Terms of A000203 that are prime.at n=14A062700
- a(1) = 2, a(n+1) = a(n)-th squarefree number > 1.at n=18A071255
- Primes of the form 4*k^2 - 10*k + 7 with k positive.at n=17A073337
- Final terms of rows of A077321.at n=33A077323
- Duplicate of A071255.at n=18A077673