About the Number 431 (four hundred thirty-one)

431 was the smallest number without a nBAB on 7 May 2017.

MathBabbler Number Analyst (MBNA) output:
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431 is natural, counting, whole, integer
431 is odd (not even)
431 is not extremely odd
431 proper divisors are: 1,
431 has 1 proper divisors
431 is deficient (sum of divisors is 1; ratio: 0.00232019)
431 is unhappy
431 is a Squarefree Number
431 is prime (not composite)
...Sophie Germain prime with 863
...Twin prime with 433
...Truman Gerald (p+30) prime with 461
...Truman Gerald (p-30) prime with 401
...OEIS:002145 (4n+3; n=107)
...Super prime (prime# 83)
...Left-truncatable prime
...Right-truncatable prime
...Eisenstein (3n-1; n=144)
...Strong prime
431 is the sum of 7 consecutive primes
431 = 47 + 53 + 59 + 61 + 67 + 71 + 73
431 in octal is 0657
431 in hexadecimal is 0x1af
431 in binary is 110101111 (is odious)
431 nearest square numbers: -31...10 (400...441 [21])
sqrt(431) = 20.7605
ln(431) = 6.06611
log(431) = 2.63448
431! is 9.88995e+949
431 is 137.192 Pi years
431 is 21 score and 11 years
431 written as a Roman numeral is CDXXXI
431 is 216^2 - 215^2 and 216 + 215 = 431
431 is a multiple of 1 & it contains a 1 (A011531)
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431 reciprocal is 0.00232018561484918793503480278422273781902552204176334106728538283062645011600928074245939675174013921113689095127610208816705336426914153132250580046403712296983758700696055684454756380510440835266821345707656612529
remainders: 
1,10,100,138,87,8,80,369,242,265,64,209,366,212,396,81,379,342,403,151,217,15,150,207,346,12,120,338,363,182,96,98,118,318,163,337,353,82,389,11,110,238,225,95,88,18,180,76,329,273,144,147,177,46,29,290,314,123,368,232,165,357,122,358,132,27,270,114,278,194,216,5,50,69,259,4,40,400,121,348,32,320,183,106,198,256,405,171,417,291,324,223,75,319,173,6,60,169,397,91,48,49,59,159,297,384,392,41,410,221,55,119,328,263,44,9,90,38,380,352,72,289,304,23,230,145,157,277,184,116,298,394,61,179,66,229,135,57,139,97,108,218,25,250,345,2,20,200,276,174,16,160,307,53,99,128,418,301,424,361,162,327,253,375,302,3,30,300,414,261,24,240,245,295,364,192,196,236,205,326,243,275,164,347,22,220,45,19,190,176,36,360,152,227,115,288,294,354,92,58,149,197,246,305,33,330,283,244,285,264,54,109,228,125,388,1

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 07 May 2017

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