984,171

3 × 251 × 1307

Starting at 984,171, the Collatz iteration reaches 1 after 121 steps. The first transition is 2952514; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 251 × 1307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,318,464

Proper Divisor Sum 334,293

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #984167 ← → #984199

Radix Representation

Decimal	984171
Binary	11110000010001101011 (20 bits)
Octal	0o3602153
Hexadecimal	0xF046B

Divisor Catalog (8)

1 3 251 753 1,307 3,921 328,057 984,171

Collatz Trajectory (121 steps to reach 1)

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

984,171 2,952,514 1,476,257 4,428,772 2,214,386 1,107,193 3,321,580 1,660,790 830,395 2,491,186 1,245,593 3,736,780 1,868,390 934,195 2,802,586 1,401,293 4,203,880 2,101,940 1,050,970 525,485 1,576,456 788,228 394,114 197,057 591,172 295,586 147,793 443,380 221,690 110,845 332,536 166,268 83,134 41,567 124,702 62,351 187,054 93,527 280,582 140,291 420,874 210,437 631,312 315,656 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456

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