272 Jean-Marie De Koninck
884 730
the third and largest solution n 109 of σ(n) = 3n + 18 (see the number
17 850).
885 735 (= 311 · 5)
the third number n having at least two distinct prime factors and such that
β(n)3|B1(n): here (3 + 5)3|(311 + 5) (see the number 5 120).
890 625
the largest six digit automorphic number: here 890 6252 = 793212890625 (see
the number 76).
917 280
the largest number n = [d1, . . . , dr] such that (d1 + r) · . . . · (dr + r) = n; the
numbers satisfying this property are: 12, 24, 35, 56, 4 752, 7 744, 16 500, 91 728
and 917 280; this is an observation due to Patrick Letendre.
917 504
the
20th
Granville number (see the number 126).
925 957
the seventh self contained number (see the number 293).
929 964
the third composite number n such that σ(n +56) = σ(n)+56 (see the number
76 571).
930 249
the
15th
number n such that
n2
1 is powerful; here
930
2492
1 =
24
·
53
·
112
·
312
·
612
(see the number 485).
944 108
the third number n such that β(n)|β(n +1) and β(n +1)|β(n +2): here 555|555
and 555|4995 (see the number 225 504).
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