617,307

3 × 149 × 1381

617,307 factors as 3 × 149 × 1381. Its 8 positive divisors give a proper-divisor sum of 211,893, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3 × 149 × 1381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 829,200

Proper Divisor Sum 211,893

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #617293 ← → #617311

Radix Representation

Decimal	617307
Binary	10010110101101011011 (20 bits)
Octal	0o2265533
Hexadecimal	0x96B5B

Divisor Catalog (8)

1 3 149 447 1,381 4,143 205,769 617,307

Collatz Trajectory (84 steps to reach 1)

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

617,307 1,851,922 925,961 2,777,884 1,388,942 694,471 2,083,414 1,041,707 3,125,122 1,562,561 4,687,684 2,343,842 1,171,921 3,515,764 1,757,882 878,941 2,636,824 1,318,412 659,206 329,603 988,810 494,405 1,483,216 741,608 370,804 185,402 92,701 278,104 139,052 69,526 34,763 104,290 52,145 156,436 78,218 39,109 117,328 58,664 29,332 14,666 7,333 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653

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