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163 is the number following 162 and preceding 164[1].

Properties[]

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 13 ↑ 2
Scientific notation 1.63 x 102 1.631 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 1[3] 2[3]
Chained arrow notation 13 → 2
Bowers' Exploding Array Function/Bird's array notation {13,2}
Fast-growing hierarchy f1(80) f1(81)
Hardy hierarchy Hω(81) Hω(82)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.2122
Hyper-E notation (non-10 base) \(E[13]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 13{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)[12] (0)[13]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(80)\) \(s(1)(\lambda x . x+1)(81)\)

Sources[]