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181 is the number following 180 and preceding 182[1].

Properties[]

  • 181 is a centered square number.[9]
  • 181 is a centered pentagonal number.[10]
  • 181 is a centered dodecagonal number.[11]
  • 181 is deficient.[12]
  • 181 is a palindromic number, meaning it is the same forwards and reverse.[13][14]
  • 181 is a star prime.[15]

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 13 ↑ 2
Scientific notation 1.81 x 102 1.811 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(89) f1(90)
Hardy hierarchy Hω(90) Hω(91)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.2577
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)[13] (0)[14]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(89)\) \(s(1)(\lambda x . x+1)(90)\)

Sources[]