627,299

29 × 97 × 223

627,299 factors as 29 × 97 × 223. Its 8 positive divisors give a proper-divisor sum of 31,261, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 29 × 97 × 223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 658,560

Proper Divisor Sum 31,261

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #627293 ← → #627301

Radix Representation

Decimal	627299
Binary	10011001001001100011 (20 bits)
Octal	0o2311143
Hexadecimal	0x99263

Divisor Catalog (8)

1 29 97 223 2,813 6,467 21,631 627,299

Collatz Trajectory (172 steps to reach 1)

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

627,299 1,881,898 940,949 2,822,848 1,411,424 705,712 352,856 176,428 88,214 44,107 132,322 66,161 198,484 99,242 49,621 148,864 74,432 37,216 18,608 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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