628,245

3² × 5 × 23 × 607

628,245 factors as 3^2 × 5 × 23 × 607. Its 24 positive divisors give a proper-divisor sum of 509,931, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,138,176

Proper Divisor Sum 509,931

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #628231 ← → #628261

Radix Representation

Decimal	628245
Binary	10011001011000010101 (20 bits)
Octal	0o2313025
Hexadecimal	0x99615

Divisor Catalog (24)

Collatz Trajectory (110 steps to reach 1)

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

628,245 1,884,736 942,368 471,184 235,592 117,796 58,898 29,449 88,348 44,174 22,087 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921

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