1,600,780

2² × 5 × 80039

1,600,780 factors as 2^2 × 5 × 80039. Its 12 positive divisors give a proper-divisor sum of 1,760,900, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 80039

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,361,680

Proper Divisor Sum 1,760,900

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1600741 ← → #1600787

Radix Representation

Decimal	1600780
Binary	110000110110100001100 (21 bits)
Octal	0o6066414
Hexadecimal	0x186D0C

Divisor Catalog (12)

1 2 4 5 10 20 80,039 160,078 320,156 400,195 800,390 1,600,780

Collatz Trajectory (238 steps to reach 1)

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

1,600,780 800,390 400,195 1,200,586 600,293 1,800,880 900,440 450,220 225,110 112,555 337,666 168,833 506,500 253,250 126,625 379,876 189,938 94,969 284,908 142,454 71,227 213,682 106,841 320,524 160,262 80,131 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156

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