801,055

5 × 151 × 1061

Starting at 801,055, the Collatz iteration reaches 1 after 92 steps. The first transition is 2403166; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 151 × 1061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 968,544

Proper Divisor Sum 167,489

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #801037 ← → #801061

Radix Representation

Decimal	801055
Binary	11000011100100011111 (20 bits)
Octal	0o3034437
Hexadecimal	0xC391F

Divisor Catalog (8)

1 5 151 755 1,061 5,305 160,211 801,055

Collatz Trajectory (92 steps to reach 1)

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

801,055 2,403,166 1,201,583 3,604,750 1,802,375 5,407,126 2,703,563 8,110,690 4,055,345 12,166,036 6,083,018 3,041,509 9,124,528 4,562,264 2,281,132 1,140,566 570,283 1,710,850 855,425 2,566,276 1,283,138 641,569 1,924,708 962,354 481,177 1,443,532 721,766 360,883 1,082,650 541,325 1,623,976 811,988 405,994 202,997 608,992 304,496 152,248 76,124 38,062 19,031 57,094 28,547 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847

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