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331 is the number following 330 and preceding 332[1].

Properties[]

  • 331 is a centered pentagonal number.[9]
  • 331 is a centered hexagonal number.[10]
  • 331 is deficient.[11]


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 18 ↑ 2
Scientific notation 3.31 x 102 3.311 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 2[3] 3[3]
Chained arrow notation 18 → 2
Bowers' Exploding Array Function/Bird's array notation {18,2}
Fast-growing hierarchy f2(5) f2(6)
Hardy hierarchy Hω(165) Hω(166)
Middle-growing hierarchy m(ω,8) m(ω,9)
Hyper-E notation E2.5198
Hyper-E notation (non-10 base) \(E[18]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 18{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.2) H(-0.1)
Bashicu matrix system with respect to version 4 (0)[18] (0)[19]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(164)\) \(s(1)(\lambda x . x+1)(165)\)

Sources[]