1,741,988

2² × 271 × 1607

1,741,988 factors as 2^2 × 271 × 1607. Its 12 positive divisors give a proper-divisor sum of 1,319,644, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 271 × 1607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,061,632

Proper Divisor Sum 1,319,644

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1741979 ← → #1742017

Radix Representation

Decimal	1741988
Binary	110101001010010100100 (21 bits)
Octal	0o6512244
Hexadecimal	0x1A94A4

Divisor Catalog (12)

1 2 4 271 542 1,084 1,607 3,214 6,428 435,497 870,994 1,741,988

Collatz Trajectory (145 steps to reach 1)

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

1,741,988 870,994 435,497 1,306,492 653,246 326,623 979,870 489,935 1,469,806 734,903 2,204,710 1,102,355 3,307,066 1,653,533 4,960,600 2,480,300 1,240,150 620,075 1,860,226 930,113 2,790,340 1,395,170 697,585 2,092,756 1,046,378 523,189 1,569,568 784,784 392,392 196,196 98,098 49,049 147,148 73,574 36,787 110,362 55,181 165,544 82,772 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310

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