677,136

2⁴ × 3 × 14107

677,136 factors as 2^4 × 3 × 14107. Its 20 positive divisors give a proper-divisor sum of 1,072,256, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 14107

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,749,392

Proper Divisor Sum 1,072,256

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #677119 ← → #677147

Radix Representation

Decimal	677136
Binary	10100101010100010000 (20 bits)
Octal	0o2452420
Hexadecimal	0xA5510

Divisor Catalog (20)

Collatz Trajectory (136 steps to reach 1)

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

677,136 338,568 169,284 84,642 42,321 126,964 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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