41,003,235

3² × 5 × 7 × 13 × 17 × 19 × 31

41,003,235 factors as 3^2 × 5 × 7 × 13 × 17 × 19 × 31. Its 192 positive divisors give a proper-divisor sum of 59,635,485, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 17 × 19 × 31

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 100,638,720

Proper Divisor Sum 59,635,485

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41003231 ← → #41003243

Radix Representation

Decimal	41003235
Binary	10011100011010100011100011 (26 bits)
Octal	0o234324343
Hexadecimal	0x271A8E3

Divisor Catalog (60 of 192)

1 3 5 7 9 13 15 17 19 21 31 35 39 45 51 57 63 65 85 91 93 95 105 117 119 133 153 155 171 195 217 221 247 255 273 279 285 315 323 357 399 403 455 465 527 585 589 595 651 663 665 741 765 819 855 969 1,071 1,085 1,105 1,197

Collatz Trajectory (129 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

41,003,235 123,009,706 61,504,853 184,514,560 92,257,280 46,128,640 23,064,320 11,532,160 5,766,080 2,883,040 1,441,520 720,760 360,380 180,190 90,095 270,286 135,143 405,430 202,715 608,146 304,073 912,220 456,110 228,055 684,166 342,083 1,026,250 513,125 1,539,376 769,688 384,844 192,422 96,211 288,634 144,317 432,952 216,476 108,238 54,119 162,358 81,179 243,538 121,769 365,308 182,654 91,327 273,982 136,991 410,974 205,487 616,462 308,231 924,694 462,347 1,387,042 693,521 2,080,564 1,040,282 520,141 1,560,424

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