4356
Jump to navigation
Jump to search
Number
$4356$ (four thousand, three hundred and fifty-six) is:
- $2^2 \times 3^2 \times 11^2$
- The sum of the first $11$ cubes:
- $4356 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 + 10^3 + 11^3$
- The $25$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $1936$, $2304$, $2704$, $2916$, $3136$, $3600$, $3844$, $4096$ to be the divisor sum value of some (strictly) positive integer:
- $4356 = \map {\sigma_1} {1782} = \map {\sigma_1} {2410} = \map {\sigma_1} {2902} = \map {\sigma_1} {4097}$
- The $66$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $3249$, $3364$, $3481$, $3600$, $3721$, $3844$, $3969$, $4096$, $4225$:
- $4356 = 66 \times 66$
Also see
- Previous ... Next: Sum of Sequence of Cubes
- Previous ... Next: Square Numbers which are Divisor Sum values
- Previous ... Next: Square Number
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $4356$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4356$