836
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Number
$836$ (eight hundred and thirty-six) is:
- $2^2 \times 11 \times 19$
- The $1$st positive integer whose square is a palindromic number with an even number of digits:
- $836^2 = 698 \, 896$ ($6$ digits)
- The $2$nd weird number after $70$:
- $\map {\sigma_1} {836} - 836 = 844$: its aliquot parts are $1$, $2$, $4$, $11$, $19$, $22$, $38$, $44$, $76$, $209$, $418$, from which $836$ cannot be made.
- The $4$th non-palindromic square root after $26$, $264$, $307$ of a palindromic square:
- $836^2 = 698 \, 896$
- The $13$th primitive abundant number after $20$, $70$, $88$, $104$, $272$, $304$, $368$, $464$, $550$, $572$, $650$, $748$:
- $1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 418 = 844 > 836$
Arithmetic Functions on $836$
\(\ds \map {\sigma_0} { 836 }\) | \(=\) | \(\ds 12\) | $\sigma_0$ of $836$ | |||||||||||
\(\ds \map {\sigma_1} { 836 }\) | \(=\) | \(\ds 1680\) | $\sigma_1$ of $836$ |
Also see
- Previous ... Next: Weird Number
- Previous ... Next: Palindromic Squares with Non-Palindromic Roots
- Previous ... Next: Primitive Abundant Number
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $836$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $836$