14813
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14814
- 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
- 14812
- Möbius Function
- -1
- Radical
- 14813
- 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
- 133
- 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
- 1735
- 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 55.at n=20A020394
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=38A023299
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=36A050666
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=22A051964
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=33A054809
- Prime(n) and prime(n+3) use the same digits.at n=16A069795
- Sums of p-th to the q-th prime where p and q are twin primes.at n=29A114379
- Primes congruent to 8 mod 47.at n=39A142359
- Primes congruent to 26 mod 53.at n=31A142556
- Primes congruent to 4 mod 59.at n=30A142731
- Primes congruent to 51 mod 61.at n=30A142849
- a(n) = 529*n + 1.at n=27A158368
- a(n) = 28*n^2 + 1.at n=23A158556
- Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.at n=36A176002
- Triangle read by rows: row n gives the n primes corresponding to A187825.at n=36A195258
- Primes of the form 7n^2 + 1.at n=13A201602
- Number of n-bead necklaces labeled with numbers 1..5 not allowing reversal, with no adjacent beads differing by more than 1.at n=11A208774
- Primes that are sum of both three and five consecutive primes.at n=25A211170
- Prime numbers > 10000 such that all the substrings of length >= 4 are primes (substrings with leading '0' are considered to be nonprime).at n=13A211686
- Primes p such that p^7 + 2 is also prime.at n=35A261537