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The Maxima on-line user's manual

Algebra Calculator

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Divsum Calculator

Divsum

Function: divsum (<n>, <k>)

divsum(2^10*5);
2*2^10*5;
if (249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999981253789826304613064779444529649183080750478797011146275783319404778614301847621215362898395032314546968879404649926737557704481217106622135482802432809777748348047207136388021519836071217260613669804871589667897670448223868349830146181350368466415189925239744036875328807770815584348270284336814892631222788340810116576904481495933880408284010465438307048494842197049225928486762350198762942327723127756789914003733269347715244004870808915837850772436337131892659769220754463065450606766953956652544708458504323776186707728829083417241135192250648558214448031/2^800/5^800/2 < 1) then (3);

Function: divsum (<n>) divsum (<n>, <k>) returns the sum of the divisors of <n> raised to the <k>th power.

divsum (<n>) returns the sum of the divisors of <n>.

          (%i1) divsum (12);
          (%o1)                          28
          (%i2) 1 + 2 + 3 + 4 + 6 + 12;
          (%o2)                          28
          (%i3) divsum (12, 2);
          (%o3)                          210
          (%i4) 1^2 + 2^2 + 3^2 + 4^2 + 6^2 + 12^2;
          (%o4)                          210

(%o1)                                true
(%i2) 

Divsum Example

Related Examples

divsum-numer

divsum(5^3*7^3*13^2*1...

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divsum-numer

divsum(5^5*7^5*13^5*1...

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divsum-numer

divsum(5^5*7^5*13^5*1...

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divsum

divsum(37*41)/(2*37*41);

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divsum-numer

divsum(5^2*13*41*43*4...

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divsum-numer

divsum(5^4*13^5*43^2*...

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divsum

d(n):=divsum(n)-n;

isa(n):=if d(d(n))=n ...

isa(220);

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divsum-numer

divsum(37^10*41^10*43...

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divsum-numer

divsum(37^3*41^3*43)/...

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divsum-numer

divsum(2)/(2*2), numer;

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