7,746,441

3 × 17 × 193 × 787

Starting at 7,746,441, the Collatz iteration reaches 1 after 98 steps. The first transition is 23239324; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 193 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,006,784

Proper Divisor Sum 3,260,343

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7746439 ← → #7746449

Radix Representation

Decimal	7746441
Binary	11101100011001110001001 (23 bits)
Octal	0o35431611
Hexadecimal	0x763389

Divisor Catalog (16)

1 3 17 51 193 579 787 2,361 3,281 9,843 13,379 40,137 151,891 455,673 2,582,147 7,746,441

Collatz Trajectory (98 steps to reach 1)

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

7,746,441 23,239,324 11,619,662 5,809,831 17,429,494 8,714,747 26,144,242 13,072,121 39,216,364 19,608,182 9,804,091 29,412,274 14,706,137 44,118,412 22,059,206 11,029,603 33,088,810 16,544,405 49,633,216 24,816,608 12,408,304 6,204,152 3,102,076 1,551,038 775,519 2,326,558 1,163,279 3,489,838 1,744,919 5,234,758 2,617,379 7,852,138 3,926,069 11,778,208 5,889,104 2,944,552 1,472,276 736,138 368,069 1,104,208 552,104 276,052 138,026 69,013 207,040 103,520 51,760 25,880 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366

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