233
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 234
- 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
- 232
- Möbius Function
- -1
- Radical
- 233
- 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
- yes
- 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
- 83
- Smith 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
- 51
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- zweihundertdreiunddreißig· ordinal: zweihundertdreiunddreißigste
- English
- two hundred thirty-three· ordinal: two hundred thirty-third
- Spanish
- doscientos treinta y tres· ordinal: 233º
- French
- deux cent trente-trois· ordinal: deux cent trente-troisième
- Italian
- duecentotrentatre· ordinal: 233º
- Latin
- ducenti triginta tres· ordinal: 233.
- Portuguese
- duzentos e trinta e três· ordinal: 233º
Appears in sequences
- Numbers k such that (2k)^4 + 1 is prime.at n=55A000059
- Number of simplicial polyhedra with n vertices; simple planar graphs with n vertices and 3n-6 edges; maximal simple planar graphs with n vertices; planar triangulations with n vertices; triangulations of the sphere with n vertices; 3-connected cubic planar graphs on 2n-4 vertices.at n=7A000109
- Expansion of e.g.f. exp(-x)/(1-2*x).at n=4A000354
- Number of steps to reach 1 in sequence A000546.at n=49A000547
- Number of twin prime pairs < square of n-th prime.at n=28A000885
- 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=8A000928
- Primes with 3 as smallest primitive root.at n=11A001123
- Primes == +-1 (mod 8).at n=21A001132
- a(n) = 3*a(n-1) - a(n-2) for n >= 2, with a(0) = a(1) = 1.at n=7A001519
- Smallest primitive prime factor of Fibonacci number F(n), or 1 if F(n) has no primitive prime factor.at n=12A001578
- Convolved Fibonacci numbers.at n=6A001628
- Full reptend primes: primes with primitive root 10.at n=19A001913
- Number of connected topologies on n labeled points.at n=4A001929
- v-pile numbers of the 3-Wythoff game with i=1.at n=54A001958
- v-pile counts for the 4-Wythoff game with i=2.at n=44A001966
- Pythagorean primes: primes of the form 4*k + 1.at n=22A002144
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=30A002154
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=35A002155
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=14A002184
- Primes congruent to 1 or 2 modulo 4; or, primes of form x^2 + y^2; or, -1 is a square mod p.at n=23A002313