523
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 524
- 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
- 522
- Möbius Function
- -1
- Radical
- 523
- 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
- 123
- Smith 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
- 99
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertdreiundzwanzig· ordinal: fünfhundertdreiundzwanzigste
- English
- five hundred twenty-three· ordinal: five hundred twenty-third
- Spanish
- quinientos veintitrés· ordinal: 523º
- French
- cinq cent vingt-trois· ordinal: cinq cent vingt-troisième
- Italian
- cinquecentoventitre· ordinal: 523º
- Latin
- quingenti viginti tres· ordinal: 523.
- Portuguese
- quinhentos e vinte e três· ordinal: 523º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=21A000057
- a(n) = a(n-1) + a(n-2) - 2, a(0) = 4, a(1) = 3.at n=13A000211
- a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=9A000230
- Boustrophedon transform of 1,1,2,3,4,5,...at n=6A000660
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=24A000921
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=28A000928
- Twin primes.at n=48A001097
- Primes with primitive root 2.at n=39A001122
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=30A001914
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=58A001915
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=54A001916
- Prime determinants of forms with class number 2.at n=45A002052
- Primes of the form 4*k + 3.at n=51A002145
- Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k.at n=6A002386
- Primes of the form 6m + 1.at n=45A002476
- Numbers that are the sum of 8 positive 5th powers.at n=18A003353
- Primes congruent to {3, 5, 6} mod 7.at n=51A003625
- Primes p == +- 3 (mod 8), or, primes p such that 2 is not a square mod p.at n=50A003629
- Inert rational primes in Q[sqrt(3)].at n=49A003630
- Primes congruent to 2 or 3 modulo 5.at n=50A003631