A180460
a(n) is the smallest number m such that sigma(m)=22^n, or 0 if m does not exist.
Original entry on oeis.org
1, 0, 0, 10363, 136647, 3018141, 66411009, 1636922343, 31276995183, 688217286267, 15200749439001, 324029599659171, 7264291502741679, 160447401116572437, 3530475812620849113, 75514126111770824037, 1662716417771040164631, 36586320846189859358019, 804905851136700392012493, 17704604426749226872106319
Offset: 0
a(4)=136647=3^4*7*241 since sigma(3^4*7*241)=(11^2)(2^3)(2*11^2)=2^4*11^4 and 136647 is the smallest such number.
A180461
a(n) is the smallest number m such that sigma(m)=26^n, or 0 if m does not exist.
Original entry on oeis.org
1, 0, 0, 0, 312399, 8911029, 187131609, 5560483959, 126501010209, 3186244194273, 85514682943809, 2206011586559697, 55462952723504823, 1577373555132452973, 37744962467192492463, 974816528291192900817, 25345238283868264629273, 658976194648474007782617, 17245346702665551116114601
Offset: 0
a(4)=312399=3^2*103*337 since sigma(3^2*103*337)=(13)*(2^3*13)*(2*13^2)=2^4*13^4 and 312399 is the smallest such number.
A180462
a(n) is the smallest number m such that sigma(m)=34^n, or 0 if m does not exist.
Original entry on oeis.org
1, 0, 0, 38659, 1333447, 45356239, 1542131167, 52432478719, 0, 44114690056791, 1545604624685757, 52550557239372861, 1542390446782691499, 52463299805385993363, 1783774217997898256739, 60648345436543315211523, 2091915317967934350057159, 69957029735592536691912261
Offset: 0
a(3)=38659=67*577 since sigma(67*577)=(2^2*17)*(2*17^2)=2^3*17^3 and 38659 is the smallest such number.
A180463
a(n) is the smallest number m such that sigma(m)=38^n, or 0 if m does not exist.
Original entry on oeis.org
1, 37, 0, 0, 0, 0, 0, 85811686941, 3175032416817, 159809964979789, 4561513295803851, 155532888827892597, 5754716886632026089, 249887680992407652771, 8319571903089894983277, 307824160414326114381249, 12077787753685017948512649, 455818072892233197941369463
Offset: 0
a(7)=85811686941=3*28603895647 since sigma(85811686941)= (2^2)*(2^5*19^7)=2^7*19^7 and 85811686941 is the smallest such number.
A180464
a(n) is the smallest number m such that sigma(m)=46^n, or 0 if m does not exist.
Original entry on oeis.org
1, 0, 0, 0, 0, 180217597, 6217507317, 325975026477, 15034820907837, 919684211139697, 31808042757482763, 1463508270300620883, 58746435953696315769, 2709539295335742607689, 138000408890542031957601, 5718143312090439006662949, 263735727094699893912217269
Offset: 0
a(5)=180217597=7*25745371 and sigma(180217597)=(2^3)*(2^2*23^5)=2^5*23^5 and 180217597 is the smallest such number.
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