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

• Next: Numbers whose Square is Palindromic with Even Number of Digits

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $836$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $836$