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8100 is the number following 8099 and preceding 8101[1].

Properties

  • 8100 is a centered octagonal number.[9]
  • 8100 is abundant.[10]
  • Its prime factorization is 22 × 34 × 52.
  • 8100 is a Harshad number, meaning it is divisible by the sum of its digits.[11]


Approximations

Notation Lower bound Upper bound
Up-arrow notation 90 ↑ 2
Scientific notation 8.1 x 103 8.101 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(5)\) \(g_{\omega^{\omega}}(6)\)
Copy notation 80[2] 81[2]
Chained arrow notation 90 → 2
Bowers' Exploding Array Function/Bird's array notation {90,2}
Fast-growing hierarchy f2(9) f2(10)
Hardy hierarchy Hω(4050) Hω(4050)
Middle-growing hierarchy m(ω,12) m(ω,13)
Hyper-E notation E3.9085
Hyper-E notation (non-10 base) \(E[90]2\)
Hyperfactorial array notation 7! 8!
X-Sequence Hyper-Exponential Notation 90{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)[90] (0)[90]
m(n) map m(1)(5) m(1)(6)
s(n) map \(s(1)(\lambda x . x+1)(4049)\) \(s(1)(\lambda x . x+1)(4050)\)

Sources