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6400 is the number following 6399 and preceding 6401.

Properties

  • 6400 is a centered octagonal number.[8]
  • 6400 is abundant.[9]
  • Its prime factorization is 28 × 52.
  • 6400 is a Harshad number, meaning it is divisible by the sum of its digits.[10]


Approximations

Notation Lower bound Upper bound
Up-arrow notation 80 ↑ 2
Scientific notation 6.4 x 103 6.401 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(5)\) \(g_{\omega^{\omega}}(6)\)
Copy notation 63[2] 64[2]
Chained arrow notation 80 → 2
Bowers' Exploding Array Function/Bird's array notation {80,2}
Fast-growing hierarchy f2(9) f2(10)
Hardy hierarchy Hω(3200) Hω(3200)
Middle-growing hierarchy m(ω,12) m(ω,13)
Hyper-E notation E3.8062
Hyper-E notation (non-10 base) \(E[80]2\)
Hyperfactorial array notation 7! 8!
X-Sequence Hyper-Exponential Notation 80{1}2
Steinhaus-Moser Notation 5[3] 6[3]
PlantStar's Debut Notation [2] [3]
H* function H(0.2) H(0.3)
Bashicu matrix system with respect to version 4 (0)[80] (0)[80]
m(n) map m(1)(5) m(1)(6)
s(n) map \(s(1)(\lambda x . x+1)(3199)\) \(s(1)(\lambda x . x+1)(3200)\)

Sources