41,009,112

2³ × 3³ × 373 × 509

41,009,112 factors as 2^3 × 3^3 × 373 × 509. Its 64 positive divisors give a proper-divisor sum of 73,434,888, so this integer is abundant. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 373 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 114,444,000

Proper Divisor Sum 73,434,888

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41009099 ← → #41009113

Radix Representation

Decimal	41009112
Binary	10011100011011111111011000 (26 bits)
Octal	0o234337730
Hexadecimal	0x271BFD8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 373 509 746 1,018 1,119 1,492 1,527 2,036 2,238 2,984 3,054 3,357 4,072 4,476 4,581 6,108 6,714 8,952 9,162 10,071 12,216 13,428 13,743 18,324 20,142 26,856 27,486 36,648 40,284 54,972 80,568 109,944 189,857 379,714 569,571 759,428 1,139,142 1,518,856 1,708,713 2,278,284 3,417,426 4,556,568 5,126,139 6,834,852

Collatz Trajectory (359 steps to reach 1)

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

41,009,112 20,504,556 10,252,278 5,126,139 15,378,418 7,689,209 23,067,628 11,533,814 5,766,907 17,300,722 8,650,361 25,951,084 12,975,542 6,487,771 19,463,314 9,731,657 29,194,972 14,597,486 7,298,743 21,896,230 10,948,115 32,844,346 16,422,173 49,266,520 24,633,260 12,316,630 6,158,315 18,474,946 9,237,473 27,712,420 13,856,210 6,928,105 20,784,316 10,392,158 5,196,079 15,588,238 7,794,119 23,382,358 11,691,179 35,073,538 17,536,769 52,610,308 26,305,154 13,152,577 39,457,732 19,728,866 9,864,433 29,593,300 14,796,650 7,398,325 22,194,976 11,097,488 5,548,744 2,774,372 1,387,186 693,593 2,080,780 1,040,390 520,195 1,560,586

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