5040

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5040 < 5039 | 5041 >
All Numbers
5000	5001	5002	5003	5004	5005	5006	5007	5008	5009
5010	5011	5012	5013	5014	5015	5016	5017	5018	5019
5020	5021	5022	5023	5024	5025	5026	5027	5028	5029
5030	5031	5032	5033	5034	5035	5036	5037	5038	5039
5040	5041	5042	5043	5044	5045	5046	5047	5048	5049
5050	5051	5052	5053	5054	5055	5056	5057	5058	5059
5060	5061	5062	5063	5064	5065	5066	5067	5068	5069
5070	5071	5072	5073	5074	5075	5076	5077	5078	5079
5080	5081	5082	5083	5084	5085	5086	5087	5088	5089
5090	5091	5092	5093	5094	5095	5096	5097	5098	5099

5040 is the number following 5039 and preceding 5041.

Properties

• Its factors are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520 and 5040, making it a composite number.
• 5040 is an even number .
• 5040 is an unhappy number.
  

• 5040 is a factorial.
  
• 5040 is abundant and superabundant.
  
• Its prime factorization is 2⁴ × 3² × 5¹ × 7¹.
  
• 5040 is a highly composite number, meaning it has more divisors than any number less than it.

Approximations

Notation	Lower bound	Upper bound
Up-arrow notation	71 ↑ 2
Scientific notation	5.04 x 103	5.041 x 103
Slow-growing hierarchy	\(g_{\omega^{\omega}}(5)\)	\(g_{\omega^{\omega}}(6)\)
Copy notation	49[2]	50[2]
Chained arrow notation	71 → 2
Bowers' Exploding Array Function/Bird's array notation	{71,2}
Fast-growing hierarchy	f2(9)	f2(10)
Hardy hierarchy	Hω(2520)	Hω(2520)
Middle-growing hierarchy	m(ω,12)	m(ω,13)
Hyper-E notation	E3.7024
Hyper-E notation (non-10 base)	\(E[71]2\)
Hyperfactorial array notation	7!	8!
X-Sequence Hyper-Exponential Notation	71{1}2
Steinhaus-Moser Notation	5[3]	6[3]
PlantStar's Debut Notation	[2]	[3]
H* function	H(0.2)	H(0.3)
Bashicu matrix system with respect to version 4	(0)[70]	(0)[71]
m(n) map	m(1)(5)	m(1)(6)
s(n) map	\(s(1)(\lambda x . x+1)(2519)\)	\(s(1)(\lambda x . x+1)(2520)\)