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656,310

2 × 3 × 5 × 131 × 167
Abundant Even Composite

656,310 factors as 2 × 3 × 5 × 131 × 167. Its 32 positive divisors give a proper-divisor sum of 940,362, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 131 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,596,672
Proper Divisor Sum 940,362
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #656303 ← → #656311

Radix Representation

Decimal 656310
Binary 10100000001110110110 (20 bits)
Octal 0o2401666
Hexadecimal 0xA03B6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 131 167 262 334 393 501 655 786 835 1,002 1,310 1,670 1,965 2,505 3,930 5,010 21,877 43,754 65,631 109,385 131,262 218,770 328,155 656,310

Collatz Trajectory (185 steps to reach 1)

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

656,310 328,155 984,466 492,233 1,476,700 738,350 369,175 1,107,526 553,763 1,661,290 830,645 2,491,936 1,245,968 622,984 311,492 155,746 77,873 233,620 116,810 58,405 175,216 87,608 43,804 21,902 10,951 32,854 16,427 49,282 24,641 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695

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