677,141

19 × 157 × 227

677,141 factors as 19 × 157 × 227. Its 8 positive divisors give a proper-divisor sum of 43,339, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 19 × 157 × 227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 720,480

Proper Divisor Sum 43,339

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #677119 ← → #677147

Radix Representation

Decimal	677141
Binary	10100101010100010101 (20 bits)
Octal	0o2452425
Hexadecimal	0xA5515

Divisor Catalog (8)

1 19 157 227 2,983 4,313 35,639 677,141

Collatz Trajectory (136 steps to reach 1)

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

677,141 2,031,424 1,015,712 507,856 253,928 126,964 63,482 31,741 95,224 47,612 23,806 11,903 35,710 17,855 53,566 26,783 80,350 40,175 120,526 60,263 180,790 90,395 271,186 135,593 406,780 203,390 101,695 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256 154,628

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