2,569,780

2² × 5 × 128489

2,569,780 factors as 2^2 × 5 × 128489. Its 12 positive divisors give a proper-divisor sum of 2,826,800, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 128489

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,396,580

Proper Divisor Sum 2,826,800

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2569759 ← → #2569789

Radix Representation

Decimal	2569780
Binary	1001110011011000110100 (22 bits)
Octal	0o11633064
Hexadecimal	0x273634

Divisor Catalog (12)

1 2 4 5 10 20 128,489 256,978 513,956 642,445 1,284,890 2,569,780

Collatz Trajectory (73 steps to reach 1)

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

2,569,780 1,284,890 642,445 1,927,336 963,668 481,834 240,917 722,752 361,376 180,688 90,344 45,172 22,586 11,293 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454

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