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1005 is the number following 1004 and preceding 1006.

Properties[]

  • 1005 is deficient.[9]
  • Its prime factorization is 31 × 51 × 671.


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 10 ↑ 3
Scientific notation 1.005 x 103 1.006 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 9[3] 10[2]
Chained arrow notation 10 → 3
Bowers' Exploding Array Function/Bird's array notation {10,3}
Fast-growing hierarchy f2(7) f2(8)
Hardy hierarchy Hω(502) Hω(503)
Middle-growing hierarchy m(ω,9) m(ω,10)
Hyper-E notation E3.0022
Hyper-E notation (non-10 base) \(E[10]3\)
Hyperfactorial array notation 6! 7!
X-Sequence Hyper-Exponential Notation 10{1}3
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [1] [2]
H* function H(0) H(0.1)
Bashicu matrix system with respect to version 4 (0)[31] (0)[32]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(501)\) \(s(1)(\lambda x . x+1)(502)\)

Sources[]


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