463
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 464
- 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
- 462
- Möbius Function
- -1
- Radical
- 463
- 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
- 128
- 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
- 90
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhundertdreiundsechzig· ordinal: vierhundertdreiundsechzigste
- English
- four hundred sixty-three· ordinal: four hundred sixty-third
- Spanish
- cuatrocientos sesenta y tres· ordinal: 463º
- French
- quatre cent soixante-trois· ordinal: quatre cent soixante-troisième
- Italian
- quattrocentosessantatre· ordinal: 463º
- Latin
- quadringenti sexaginta tres· ordinal: 463.
- Portuguese
- quatrocentos e sessenta e três· ordinal: 463º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=17A000057
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=22A000921
- 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=25A000928
- a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.at n=25A001000
- Twin primes.at n=46A001097
- Primes with 3 as smallest primitive root.at n=19A001123
- Primes == +-1 (mod 8).at n=42A001132
- Let p be the n-th odd prime. a(n) is the least prime congruent to 7 modulo 8 such that Legendre(-a(n), q) = -Legendre(-1, q) for all odd primes q <= p.at n=3A001988
- Let p be the n-th odd prime. a(n) is the least prime congruent to 7 modulo 8 such that Legendre(-a(n), q) = -Legendre(-1, q) for all odd primes q <= p.at n=4A001988
- Prime determinants of forms with class number 2.at n=39A002052
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=22A002061
- Primes of the form 4*k + 3.at n=44A002145
- Numbers k such that 15*2^k - 1 is prime.at n=22A002237
- Primes of form k^2 + k + 1.at n=11A002383
- Primes of the form 6m + 1.at n=42A002476
- Continued fraction for fifth root of 3.at n=42A003117
- Inert rational primes in Q[sqrt(3)].at n=44A003630
- Primes congruent to 2 or 3 modulo 5.at n=46A003631
- Inert rational primes in Q(sqrt 7), or, 7 is not a square mod p.at n=45A003632
- Tetrahedral numbers written backwards.at n=12A004161