8,354,773

7 × 23 × 51893

Starting at 8,354,773, the Collatz iteration reaches 1 after 111 steps. The first transition is 25064320; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 51893

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,963,648

Proper Divisor Sum 1,608,875

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8354729 ← → #8354789

Radix Representation

Decimal	8354773
Binary	11111110111101111010101 (23 bits)
Octal	0o37675725
Hexadecimal	0x7F7BD5

Divisor Catalog (8)

1 7 23 161 51,893 363,251 1,193,539 8,354,773

Collatz Trajectory (111 steps to reach 1)

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

8,354,773 25,064,320 12,532,160 6,266,080 3,133,040 1,566,520 783,260 391,630 195,815 587,446 293,723 881,170 440,585 1,321,756 660,878 330,439 991,318 495,659 1,486,978 743,489 2,230,468 1,115,234 557,617 1,672,852 836,426 418,213 1,254,640 627,320 313,660 156,830 78,415 235,246 117,623 352,870 176,435 529,306 264,653 793,960 396,980 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994

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