677,600

2⁵ × 5² × 7 × 11²

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,077,992

Proper Divisor Sum 1,400,392

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #677587 ← → #677627

Radix Representation

Decimal	677600
Binary	10100101011011100000 (20 bits)
Octal	0o2453340
Hexadecimal	0xA56E0

Divisor Catalog (60 of 108)

1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 121 140 154 160 175 176 200 220 224 242 275 280 308 350 352 385 400 440 484 550 560 605 616 700 770 800 847 880 968 1,100 1,120 1,210

Collatz Trajectory (136 steps to reach 1)

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

677,600 338,800 169,400 84,700 42,350 21,175 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306

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