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1657 is the number following 1656 and preceding 1658.

Properties[]

  • 1657 is a centered hexagonal number.[8]
  • 1657 is deficient.[9]


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 41 ↑ 2
Scientific notation 1.657 x 103 1.658 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 16[2] 17[2]
Chained arrow notation 41 → 2
Bowers' Exploding Array Function/Bird's array notation {41,2}
Fast-growing hierarchy f2(7) f2(8)
Hardy hierarchy Hω(828) Hω(829)
Middle-growing hierarchy m(ω,10) m(ω,11)
Hyper-E notation E3.2193
Hyper-E notation (non-10 base) \(E[41]2\)
Hyperfactorial array notation 6! 7!
X-Sequence Hyper-Exponential Notation 41{1}2
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)[40] (0)[41]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(827)\) \(s(1)(\lambda x . x+1)(828)\)

Sources[]