8,396,875

5⁵ × 2687

Starting at 8,396,875, the Collatz iteration reaches 1 after 155 steps. The first transition is 25190626; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^5 × 2687

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,499,328

Proper Divisor Sum 2,102,453

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #8396873 ← → #8396881

Radix Representation

Decimal	8396875
Binary	100000000010000001001011 (24 bits)
Octal	0o40020113
Hexadecimal	0x80204B

Divisor Catalog (12)

1 5 25 125 625 2,687 3,125 13,435 67,175 335,875 1,679,375 8,396,875

Collatz Trajectory (155 steps to reach 1)

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

8,396,875 25,190,626 12,595,313 37,785,940 18,892,970 9,446,485 28,339,456 14,169,728 7,084,864 3,542,432 1,771,216 885,608 442,804 221,402 110,701 332,104 166,052 83,026 41,513 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878

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