1,126,830

2 × 3 × 5 × 37561

1,126,830 factors as 2 × 3 × 5 × 37561. Its 16 positive divisors give a proper-divisor sum of 1,577,634, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37561

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,704,464

Proper Divisor Sum 1,577,634

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1126823 ← → #1126831

Radix Representation

Decimal	1126830
Binary	100010011000110101110 (21 bits)
Octal	0o4230656
Hexadecimal	0x1131AE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 37,561 75,122 112,683 187,805 225,366 375,610 563,415 1,126,830

Collatz Trajectory (108 steps to reach 1)

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

1,126,830 563,415 1,690,246 845,123 2,535,370 1,267,685 3,803,056 1,901,528 950,764 475,382 237,691 713,074 356,537 1,069,612 534,806 267,403 802,210 401,105 1,203,316 601,658 300,829 902,488 451,244 225,622 112,811 338,434 169,217 507,652 253,826 126,913 380,740 190,370 95,185 285,556 142,778 71,389 214,168 107,084 53,542 26,771 80,314 40,157 120,472 60,236 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148

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