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A085908 Smallest highly composite number beginning with n. 0
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 112, 12, 135, 14, 15, 16, 175, 18, 192, 20, 21, 224, 2304, 24, 25, 2625, 27, 28, 294, 30, 315, 32, 336, 343, 35, 36, 375, 384, 392, 40, 4116, 42, 432, 441, 45, 4608, 4704, 48, 49, 50, 512, 525, 5376, 54, 55125, 56, 576, 588, 59049, 60 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..59.

EXAMPLE

a(23)= 2304 = 2^8*3^2 is the smallest highly composite number beginning with 23. ( 23,230,231,232,...,239, 2301,2302,2303 etc. have a divisor > 10.)

PROG

(PARI) hc(n) = local(f); f = factor(n); f[matsize(f)[1], 1] < 10; a(n) = local(d, x); if (hc(n), return(n)); d = 1; while (d, for (i = 1, 10^d - 1, x = n*10^d + i; if (hc(x), return(x))); d++); (Wasserman)

CROSSREFS

Sequence in context: A071274 A258373 A250266 * A110304 A043315 A044912

Adjacent sequences:  A085905 A085906 A085907 * A085909 A085910 A085911

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Jul 09 2003

EXTENSIONS

Corrected and extended by David Wasserman, Feb 11 2005

STATUS

approved

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Last modified June 17 19:32 EDT 2021. Contains 345085 sequences. (Running on oeis4.)