728,556

2² × 3 × 109 × 557

728,556 factors as 2^2 × 3 × 109 × 557. Its 24 positive divisors give a proper-divisor sum of 990,084, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 109 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,718,640

Proper Divisor Sum 990,084

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #728551 ← → #728557

Radix Representation

Decimal	728556
Binary	10110001110111101100 (20 bits)
Octal	0o2616754
Hexadecimal	0xB1DEC

Divisor Catalog (24)

1 2 3 4 6 12 109 218 327 436 557 654 1,114 1,308 1,671 2,228 3,342 6,684 60,713 121,426 182,139 242,852 364,278 728,556

Collatz Trajectory (92 steps to reach 1)

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

728,556 364,278 182,139 546,418 273,209 819,628 409,814 204,907 614,722 307,361 922,084 461,042 230,521 691,564 345,782 172,891 518,674 259,337 778,012 389,006 194,503 583,510 291,755 875,266 437,633 1,312,900 656,450 328,225 984,676 492,338 246,169 738,508 369,254 184,627 553,882 276,941 830,824 415,412 207,706 103,853 311,560 155,780 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728

More profiles

2,031,506 4,792,902 2,745,236 8,058,147 1,752,844 9,976,232 7,994,163 4,856,704 9,643,329 4,086,645 5,938,611 1,759,879 1,083,073 1,221,301 8,212,453 5,779,744

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