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9801 is the number following 9800 and preceding 9802.

Properties

  • 9801 is a centered octagonal number.[8]
  • 9801 is a pentagonal number.[9]
  • 9801 is deficient.[10]
  • Its prime factorization is 34 × 112.


Approximations

Notation Lower bound Upper bound
Up-arrow notation 99 ↑ 2
Scientific notation 9.801 x 103 9.802 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(5)\) \(g_{\omega^{\omega}}(6)\)
Copy notation 97[2] 98[2]
Chained arrow notation 99 → 2
Bowers' Exploding Array Function/Bird's array notation {99,2}
Fast-growing hierarchy f2(9) f2(10)
Hardy hierarchy Hω(4900) Hω(4901)
Middle-growing hierarchy m(ω,13) m(ω,14)
Hyper-E notation E3.9913
Hyper-E notation (non-10 base) \(E[99]2\)
Hyperfactorial array notation 7! 8!
X-Sequence Hyper-Exponential Notation 99{1}2
Steinhaus-Moser Notation 5[3] 6[3]
PlantStar's Debut Notation [2] [3]
H* function H(0.3) H(0.4)
Bashicu matrix system with respect to version 4 (0)[99] (0)[99]
m(n) map m(1)(5) m(1)(6)
s(n) map \(s(1)(\lambda x . x+1)(4899)\) \(s(1)(\lambda x . x+1)(4900)\)

Sources