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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, dcccxxxvi
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.[1] They sum to 844. As this is greater than 836, it is an abundant number,[2] but no subset sums to 836, so it is not a semiperfect number; therefore it is a weird number.[3] more specifically the second one.[4][5] Besides, 836 is the smallest weird number that is also an untouchable number,[6] 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). 836 is a non-palindrome with a palindromic square.[7]

See also

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References

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  1. ↑ Vanovschi, Vitalii. "Properties of the number 836". www.numberempire.com. Retrieved 2026-08-24.
  2. ↑ "The Positive Integer 836". www.positiveintegers.org. Retrieved 2026-08-24.
  3. ↑ "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
  4. ↑ Hussein, Hussein A.; Al-Maamori, Faez A. (2024-08-26). "On using of weird number sequence in counting Beurling prime systems". Journal of Discrete Mathematical Sciences & Cryptography. 27 (5): 1695–1704. doi:10.47974/JDMSC-2011.
  5. ↑ Abdulkarim, Saja A.; Al-Maamori, Faez A (2026-06-26). "A bit of modification on the forms of the weird numbers with an application on cryptosystem" (PDF). Journal of Interdisciplinary Mathematics. 29: 1369. doi:10.47974/JIM-2594. Retrieved 2026-08-25.
  6. ↑ Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ↑ "What's Special About This Number?". erich-friedman.github.io. Retrieved 2026-08-24.