8,255,175

3 × 5² × 110069

Starting at 8,255,175, the Collatz iteration reaches 1 after 199 steps. The first transition is 24765526; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 110069

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,648,680

Proper Divisor Sum 5,393,505

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8255171 ← → #8255179

Radix Representation

Decimal	8255175
Binary	11111011111011011000111 (23 bits)
Octal	0o37373307
Hexadecimal	0x7DF6C7

Divisor Catalog (12)

1 3 5 15 25 75 110,069 330,207 550,345 1,651,035 2,751,725 8,255,175

Collatz Trajectory (199 steps to reach 1)

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

8,255,175 24,765,526 12,382,763 37,148,290 18,574,145 55,722,436 27,861,218 13,930,609 41,791,828 20,895,914 10,447,957 31,343,872 15,671,936 7,835,968 3,917,984 1,958,992 979,496 489,748 244,874 122,437 367,312 183,656 91,828 45,914 22,957 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734

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