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154 is the number following 153 and preceding 155[1].

Properties[]

  • 154 is a central polygonal number.[10]
  • 154 is deficient.[11]
  • Its prime factorization is 21 × 71 × 111.
  • 154 is the sum of the factorials of the first six nonnegative numbers, and 154! + 1 is a factorial prime.[12]

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 12 ↑ 2
Scientific notation 1.54 x 102 1.541 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 1[3] 2[3]
Chained arrow notation 12 → 2
Bowers' Exploding Array Function/Bird's array notation {12,2}
Fast-growing hierarchy f1(76) f1(77)
Hardy hierarchy Hω(77) Hω(77)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.1875
Hyper-E notation (non-10 base) \(E[12]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 12{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.3) H(-0.2)
Bashicu matrix system with respect to version 4 (0)[12] (0)[13]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(76)\) \(s(1)(\lambda x . x+1)(77)\)

Sources[]