About the Number 4,444 (four thousand four hundred forty-four)

@MathBabbler tweet count hit 4444 on 12 December 2016. {picture}

MathBabbler Number Analyst (MBNA) output:
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4444 is natural, counting, whole, integer
4444 is even (not odd)
4444 proper divisors are: 1,2,4,11,22,44,101,202,404,1111,2222,
4444 has 11 proper divisors
4444 is deficient (sum of divisors is 4124; ratio: 0.927993)
4444 is unhappy
4444 is not a Squarefree Number: 4,
4444 is composite (not prime)
4444 has the prime factors: 2*2*11*101 (sum=116)
4444 is a 101-smooth number
4444 is undulating
4444 is palindromic
4444 has all palindromic proper divisors (1,2,4,11,22,44,101,202,404,1111,2222)
4444 is repdigit in base-10
4444 is Arithmetic (A003601)
4444 is the sum of 18 consecutive primes
4444 = 197 + 199 + 211 + 223 + 227 + 229 + 233 + 239 + 241 + 251 + 
       257 + 263 + 269 + 271 + 277 + 281 + 283 + 293
4444 is a nude number
4444 in octal is 010534
4444 in hexadecimal is 0x115c
4444 in binary is 1000101011100 (is evil)
4444 nearest square numbers: -88...45 (4356...4489 [67])
sqrt(4444) = 66.6633
ln(4444) = 8.39931
log(4444) = 3.64777
4444! is inf
4444 is 1414.57 Pi years
4444 is 222 score and 4 years
4444 is 1112^2 - 1110^2 and 2 * (1112 + 1110)
4444 is a multiple of 4 & it contains a 4 (A121024)
4444 is a multiple of 44 & it contains a 44
                       ____
4444 reciprocal is 0.000225
remainders: 
1,10,100,1000,1112,2232,100

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 16 December 2016

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