About the Number 1,407 (one thousand four hundred seven)

The following video has four train engines. The first engine in number 4025 followed by 1704, 7842, and 4828.

MathBabbler Number Analyst (MBNA) output:
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1407 is a natural, whole, integer
1407 is odd
1407 proper divisors are: 1,3,7,21,67,201,469,
1407 has 7 proper divisors
1407 is deficient (sum of divisors is 769; ratio: 0.546553)
1407 is unhappy
1407 is a Squarefree Number
1407 is composite (not prime)
1407 has the prime factors: 3*7*67 (sum=77)
1407 is sphenic (had 3 unique prime factors)
1407 is a 67-smooth number
1407 is the sum of 3 distinct cubes (4^3 + 7^3 + 10^3)
1407 is Arithmetic (A003601)
1407 in octal is 02577
1407 in hexadecimal is 0x57f
1407 in binary is 10101111111 (is odious)
1407 nearest square numbers: -38...37 (1369...1444 [38])
sqrt(1407) = 37.51
ln(1407) = 7.24922
log(1407) = 3.14829
1407 reciprocal is .00071073205401563610518834399431
1407! is 3.72153e+3820
1407 is 447.862 Pi years
1407 is 70 score and 7 years
1407 written as a Roman numeral is MCDVII
1407 is 704^2 - 703^2 and 704 + 703 = 1407
1407 is a multiple of 1 & it contains a 1 (A011531)
1407 is a multiple of 7 & it contains a 7 (A121027)

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 20 January 2016

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This work is licensed under a Creative Commons Attribution 3.0 United States License.