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233 is the number following 232 and preceding 234[1].

Properties[]

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 15 ↑ 2
Scientific notation 2.33 x 102 2.331 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 2[3] 3[3]
Chained arrow notation 15 → 2
Bowers' Exploding Array Function/Bird's array notation {15,2}
Fast-growing hierarchy f2(5) f2(6)
Hardy hierarchy Hω(116) Hω(117)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.3674
Hyper-E notation (non-10 base) \(E[15]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 15{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.3) H(-0.2)
Bashicu matrix system with respect to version 4 (0)[15] (0)[16]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(115)\) \(s(1)(\lambda x . x+1)(116)\)

Sources[]

  1. Wolfram Alpha 233
  2. OEIS A000040 - Primes
  3. Wolfram Alpha Is 233 prime?
  4. Wolfram Alpha 233's factors
  5. OEIS A005384 - Sophie Germain primes
  6. OEIS A005408 - Odd numbers
  7. Wolfram Alpha Is 233 odd?
  8. Wolfram Alpha Unhappy Numbers
  9. OEIS A031177 - Unhappy Numbers
  10. OEIS A005100 - Deficient numbers
  11. OEIS A000045 - Fibonacci numbers. Retrieved 2025-01-21.