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A229185
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Numbers incremented by their digit product produce a cube.
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1
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0, 4, 85, 168, 184, 212, 368, 549, 681, 919, 999, 1000, 1283, 1593, 2181, 3664, 4096, 4717, 6811, 7497, 8000, 9919, 10648, 12143, 15275, 15425, 21664, 21728, 21824, 27000, 39304, 42427, 42811, 47629, 50653, 63424, 64000, 74088, 79507, 84416, 103823, 110592
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OFFSET
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1,2
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LINKS
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EXAMPLE
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681 + 6*8*1 = 729 = 9^3.
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MATHEMATICA
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Select[Range[0, 100000], IntegerQ[(# + Times @@ IntegerDigits[#])^(1/3)] &] (* T. D. Noe, Sep 16 2013 *)
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PROG
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(Python)
def DP(n):
..p = 1
..for i in str(n):
....p *= int(i)
..return p
for n in range(10**4):
..k = 0
..P = n + DP(n)
..while P >= k**3:
....if P == k**3:
......print(n, end=', ')
......break
....k += 1
(PARI) for(n=0, 10^5, d=digits(n); P=n+prod(i=1, #d, d[i]); if(ispower(P, 3), print1(n, ", "))) \\ Derek Orr, Mar 12 2015
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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EXTENSIONS
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Prepended a(1) = 0 from Derek Orr, Mar 12 2015
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STATUS
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approved
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