628,902

2 × 3² × 34939

628,902 factors as 2 × 3^2 × 34939. Its 12 positive divisors give a proper-divisor sum of 733,758, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 34939

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,362,660

Proper Divisor Sum 733,758

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #628877 ← → #628909

Radix Representation

Decimal	628902
Binary	10011001100010100110 (20 bits)
Octal	0o2314246
Hexadecimal	0x998A6

Divisor Catalog (12)

1 2 3 6 9 18 34,939 69,878 104,817 209,634 314,451 628,902

Collatz Trajectory (234 steps to reach 1)

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

628,902 314,451 943,354 471,677 1,415,032 707,516 353,758 176,879 530,638 265,319 795,958 397,979 1,193,938 596,969 1,790,908 895,454 447,727 1,343,182 671,591 2,014,774 1,007,387 3,022,162 1,511,081 4,533,244 2,266,622 1,133,311 3,399,934 1,699,967 5,099,902 2,549,951 7,649,854 3,824,927 11,474,782 5,737,391 17,212,174 8,606,087 25,818,262 12,909,131 38,727,394 19,363,697 58,091,092 29,045,546 14,522,773 43,568,320 21,784,160 10,892,080 5,446,040 2,723,020 1,361,510 680,755 2,042,266 1,021,133 3,063,400 1,531,700 765,850 382,925 1,148,776 574,388 287,194 143,597

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