7,700,250

2 × 3 × 5³ × 10267

Starting at 7,700,250, the Collatz iteration reaches 1 after 279 steps. The first transition is 3850125; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 10267

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,221,696

Proper Divisor Sum 11,521,446

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7700249 ← → #7700257

Radix Representation

Decimal	7700250
Binary	11101010111111100011010 (23 bits)
Octal	0o35277432
Hexadecimal	0x757F1A

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 10,267 20,534 30,801 51,335 61,602 102,670 154,005 256,675 308,010 513,350 770,025 1,283,375 1,540,050 2,566,750 3,850,125 7,700,250

Collatz Trajectory (279 steps to reach 1)

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

7,700,250 3,850,125 11,550,376 5,775,188 2,887,594 1,443,797 4,331,392 2,165,696 1,082,848 541,424 270,712 135,356 67,678 33,839 101,518 50,759 152,278 76,139 228,418 114,209 342,628 171,314 85,657 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655 121,966 60,983 182,950 91,475 274,426 137,213 411,640 205,820 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230 586,115 1,758,346

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