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3,000 is the largest number with palindromic undisputed Roman numeral.

Nirvana Supermind coined zero-trecentenol for this number, and is equal to Q<10,300> using quick array notation. [1]

NigerianPidgin coined Little Chromoluem for this number, and is equal to 3,000. [2]

Properties[]

  • 3000 is abundant.[10]
  • Its prime factorization is 23 × 31 × 53.
  • It is also the prize for correctly answering the first three questions in the Indian game show Kaun Banega Crorepati in Indian rupees.

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 55 ↑ 2
Scientific notation 3 x 103 3.001 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 29[2] 30[2]
Chained arrow notation 55 → 2
Bowers' Exploding Array Function/Bird's array notation {55,2}
Fast-growing hierarchy f2(8) f2(9)
Hardy hierarchy Hω(1500) Hω(1500)
Middle-growing hierarchy m(ω,11) m(ω,12)
Hyper-E notation E3.4771
Hyper-E notation (non-10 base) \(E[55]2\)
Hyperfactorial array notation 6! 7!
X-Sequence Hyper-Exponential Notation 55{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [2] [3]
H* function H(0.1) H(0.2)
Bashicu matrix system with respect to version 4 (0)[54] (0)[55]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(1499)\) \(s(1)(\lambda x . x+1)(1500)\)

Sources[]



See also[]