4,177,250

2 × 5³ × 7² × 11 × 31

4,177,250 factors as 2 × 5^3 × 7^2 × 11 × 31. Its 96 positive divisors give a proper-divisor sum of 6,066,334, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 7^2 × 11 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 10,243,584

Proper Divisor Sum 6,066,334

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4177231 ← → #4177309

Radix Representation

Decimal	4177250
Binary	1111111011110101100010 (22 bits)
Octal	0o17736542
Hexadecimal	0x3FBD62

Divisor Catalog (60 of 96)

1 2 5 7 10 11 14 22 25 31 35 49 50 55 62 70 77 98 110 125 154 155 175 217 245 250 275 310 341 350 385 434 490 539 550 682 770 775 875 1,078 1,085 1,225 1,375 1,519 1,550 1,705 1,750 1,925 2,170 2,387 2,450 2,695 2,750 3,038 3,410 3,850 3,875 4,774 5,390 5,425

Collatz Trajectory (136 steps to reach 1)

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

4,177,250 2,088,625 6,265,876 3,132,938 1,566,469 4,699,408 2,349,704 1,174,852 587,426 293,713 881,140 440,570 220,285 660,856 330,428 165,214 82,607 247,822 123,911 371,734 185,867 557,602 278,801 836,404 418,202 209,101 627,304 313,652 156,826 78,413 235,240 117,620 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418

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