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836 (number)

From Wikipedia, the free encyclopedia
← 835 836 837 →
Cardinaleight hundred thirty-six
Ordinal836th
(eight hundred thirty-sixth)
Factorization22 × 11 × 19
Greek numeralΩΛϚ´
Roman numeralDCCCXXXVI
Binary11010001002
Ternary10102223
Senary35126
Octal15048
Duodecimal59812
Hexadecimal34416

836 (eight hundred [and] thirty-six) is the natural number following 835 and preceding 837.

In mathematics

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The factorization of 836 is 22 × 11 × 19, so its proper factors are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, and 418. They sum to 844. As this is greater than 836, it is an abundant number, but no subset sums to 836, so it is not a semiperfect number; therefore it is a weird number.[1] Besides, 836 is the smallest weird number that is also an untouchable number, i.e. there is no n such that the sum of proper factors of n equals 836. (The only smaller weird number 70 is not untouchable, since σ(134) − 134 = 70)

See also

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References

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  1. ^ "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.