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2401 is the number following 2400 and preceding 2402[1].

Properties

  • 2401 is a centered octagonal number.[9]
  • 2401 is deficient.[10]
  • Its prime factorization is 74.
  • 2401 is a Harshad number, meaning it is divisible by the sum of its digits.[11]
  • 2401 is a fourth power, as it is equal to \(7^4\).

Approximations

Notation Lower bound Upper bound
Up-arrow notation 49 ↑ 2
Scientific notation 2.401 x 103 2.402 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 23[2] 24[2]
Chained arrow notation 49 → 2
Bowers' Exploding Array Function/Bird's array notation {49,2}
Fast-growing hierarchy f2(8) f2(9)
Hardy hierarchy Hω(1200) Hω(1201)
Middle-growing hierarchy m(ω,11) m(ω,12)
Hyper-E notation E3.3804
Hyper-E notation (non-10 base) \(E[49]2\)
Hyperfactorial array notation 6! 7!
X-Sequence Hyper-Exponential Notation 49{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [2] [3]
H* function H(0.1) H(0.2)
Bashicu matrix system with respect to version 4 (0)[49] (0)[49]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(1199)\) \(s(1)(\lambda x . x+1)(1200)\)

Sources