7,755,673

29 × 31 × 8627

Starting at 7,755,673, the Collatz iteration reaches 1 after 155 steps. The first transition is 23267020; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 31 × 8627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,282,880

Proper Divisor Sum 527,207

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7755659 ← → #7755691

Radix Representation

Decimal	7755673
Binary	11101100101011110011001 (23 bits)
Octal	0o35453631
Hexadecimal	0x765799

Divisor Catalog (8)

1 29 31 899 8,627 250,183 267,437 7,755,673

Collatz Trajectory (155 steps to reach 1)

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

7,755,673 23,267,020 11,633,510 5,816,755 17,450,266 8,725,133 26,175,400 13,087,700 6,543,850 3,271,925 9,815,776 4,907,888 2,453,944 1,226,972 613,486 306,743 920,230 460,115 1,380,346 690,173 2,070,520 1,035,260 517,630 258,815 776,446 388,223 1,164,670 582,335 1,747,006 873,503 2,620,510 1,310,255 3,930,766 1,965,383 5,896,150 2,948,075 8,844,226 4,422,113 13,266,340 6,633,170 3,316,585 9,949,756 4,974,878 2,487,439 7,462,318 3,731,159 11,193,478 5,596,739 16,790,218 8,395,109 25,185,328 12,592,664 6,296,332 3,148,166 1,574,083 4,722,250 2,361,125 7,083,376 3,541,688 1,770,844

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