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253 is the number following 252 and preceding 254[1].

Properties[]

  • 253 is a triangular number.[10]
  • 253 is a centered heptagonal number.[11]
  • 253 is a centered nonagonal number.[12]
  • 253 is a centered dodecagonal number.[13]
  • 253 is deficient.[14]
  • Its prime factorization is 111 × 231.


Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 16 ↑ 2
Scientific notation 2.53 x 102 2.531 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 2[3] 3[3]
Chained arrow notation 16 → 2
Bowers' Exploding Array Function/Bird's array notation {16,2}
Fast-growing hierarchy f2(5) f2(6)
Hardy hierarchy Hω(126) Hω(127)
Middle-growing hierarchy m(ω,7) m(ω,8)
Hyper-E notation E2.4031
Hyper-E notation (non-10 base) \(E[16]2\)
Hyperfactorial array notation 5! 6!
X-Sequence Hyper-Exponential Notation 16{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.2) H(-0.1)
Bashicu matrix system with respect to version 4 (0)[15] (0)[16]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(125)\) \(s(1)(\lambda x . x+1)(126)\)

Sources[]