836 (number)

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835 836 837
Cardinal eight hundred thirty-six
Ordinal 836th
(eight hundred thirty-sixth)
Factorization 22 × 11 × 19
Greek numeral ΩΛϚ´
Roman numeral DCCCXXXVI, dcccxxxvi
Binary 11010001002
Ternary 10102223
Senary 35126
Octal 15048
Duodecimal 59812
Hexadecimal 34416

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

Contents

In mathematics

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

References

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