41,009,608

2³ × 1327 × 3863

41,009,608 factors as 2^3 × 1327 × 3863. Its 16 positive divisors give a proper-divisor sum of 35,961,272, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 1327 × 3863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 76,970,880

Proper Divisor Sum 35,961,272

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #41009597 ← → #41009609

Radix Representation

Decimal	41009608
Binary	10011100011100000111001000 (26 bits)
Octal	0o234340710
Hexadecimal	0x271C1C8

Divisor Catalog (16)

1 2 4 8 1,327 2,654 3,863 5,308 7,726 10,616 15,452 30,904 5,126,201 10,252,402 20,504,804 41,009,608

Collatz Trajectory (103 steps to reach 1)

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

41,009,608 20,504,804 10,252,402 5,126,201 15,378,604 7,689,302 3,844,651 11,533,954 5,766,977 17,300,932 8,650,466 4,325,233 12,975,700 6,487,850 3,243,925 9,731,776 4,865,888 2,432,944 1,216,472 608,236 304,118 152,059 456,178 228,089 684,268 342,134 171,067 513,202 256,601 769,804 384,902 192,451 577,354 288,677 866,032 433,016 216,508 108,254 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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