Googology Wiki
Googology Wiki

View full site to see MathJax equation

306 is the number following 305 and preceding 307[1].

Properties[]

  • 306 is a pronic number.[10]
  • 306 is abundant.[11]
  • Its prime factorization is 21 × 32 × 171.


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 17 ↑ 2
Scientific notation 3.06 x 102 3.061 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 2[3] 3[3]
Chained arrow notation 17 → 2
Bowers' Exploding Array Function/Bird's array notation {17,2}
Fast-growing hierarchy f2(5) f2(6)
Hardy hierarchy Hω(153) Hω(153)
Middle-growing hierarchy m(ω,8) m(ω,9)
Hyper-E notation E2.4857
Hyper-E notation (non-10 base) \(E[17]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 17{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.2) H(-0.1)
Bashicu matrix system with respect to version 4 (0)[17] (0)[18]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(152)\) \(s(1)(\lambda x . x+1)(153)\)

Sources[]