1,127,130

2 × 3 × 5 × 37571

1,127,130 factors as 2 × 3 × 5 × 37571. Its 16 positive divisors give a proper-divisor sum of 1,578,054, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,705,184

Proper Divisor Sum 1,578,054

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1127123 ← → #1127149

Radix Representation

Decimal	1127130
Binary	100010011001011011010 (21 bits)
Octal	0o4231332
Hexadecimal	0x1132DA

Divisor Catalog (16)

1 2 3 5 6 10 15 30 37,571 75,142 112,713 187,855 225,426 375,710 563,565 1,127,130

Collatz Trajectory (85 steps to reach 1)

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

1,127,130 563,565 1,690,696 845,348 422,674 211,337 634,012 317,006 158,503 475,510 237,755 713,266 356,633 1,069,900 534,950 267,475 802,426 401,213 1,203,640 601,820 300,910 150,455 451,366 225,683 677,050 338,525 1,015,576 507,788 253,894 126,947 380,842 190,421 571,264 285,632 142,816 71,408 35,704 17,852 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192

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