1,741,110

2 × 3 × 5 × 7 × 8291

1,741,110 factors as 2 × 3 × 5 × 7 × 8291. Its 32 positive divisors give a proper-divisor sum of 3,035,082, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 8291

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,776,192

Proper Divisor Sum 3,035,082

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1741099 ← → #1741111

Radix Representation

Decimal	1741110
Binary	110101001000100110110 (21 bits)
Octal	0o6510466
Hexadecimal	0x1A9136

Divisor Catalog (32)

Collatz Trajectory (189 steps to reach 1)

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

1,741,110 870,555 2,611,666 1,305,833 3,917,500 1,958,750 979,375 2,938,126 1,469,063 4,407,190 2,203,595 6,610,786 3,305,393 9,916,180 4,958,090 2,479,045 7,437,136 3,718,568 1,859,284 929,642 464,821 1,394,464 697,232 348,616 174,308 87,154 43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841

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