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Atlas › Integer Profiles › Node 41,009,514

41,009,514

2 × 3 × 7 × 13 × 75109
Abundant Even Composite

41,009,514 factors as 2 × 3 × 7 × 13 × 75109. Its 32 positive divisors give a proper-divisor sum of 59,938,326, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 75109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 100,947,840
Proper Divisor Sum 59,938,326
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41009513 ← → #41009531

Radix Representation

Decimal 41009514
Binary 10011100011100000101101010 (26 bits)
Octal 0o234340552
Hexadecimal 0x271C16A

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 75,109 150,218 225,327 450,654 525,763 976,417 1,051,526 1,577,289 1,952,834 2,929,251 3,154,578 5,858,502 6,834,919 13,669,838 20,504,757 41,009,514

Collatz Trajectory (103 steps to reach 1)

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

41,009,514 20,504,757 61,514,272 30,757,136 15,378,568 7,689,284 3,844,642 1,922,321 5,766,964 2,883,482 1,441,741 4,325,224 2,162,612 1,081,306 540,653 1,621,960 810,980 405,490 202,745 608,236 304,118 152,059 456,178 228,089 684,268 342,134 171,067 513,202 256,601 769,804 384,902 192,451 577,354 288,677 866,032 433,016 216,508 108,254 54,127 162,382 81,191 243,574 121,787 365,362 182,681 548,044 274,022 137,011 411,034 205,517 616,552 308,276 154,138 77,069 231,208 115,604 57,802 28,901 86,704 43,352

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