654,798

2 × 3 × 109133

Starting at 654,798, the Collatz iteration reaches 1 after 79 steps. The first transition is 327399; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 109133

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,309,608

Proper Divisor Sum 654,810

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #654781 ← → #654799

Radix Representation

Decimal	654798
Binary	10011111110111001110 (20 bits)
Octal	0o2376716
Hexadecimal	0x9FDCE

Divisor Catalog (8)

1 2 3 6 109,133 218,266 327,399 654,798

Collatz Trajectory (79 steps to reach 1)

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

654,798 327,399 982,198 491,099 1,473,298 736,649 2,209,948 1,104,974 552,487 1,657,462 828,731 2,486,194 1,243,097 3,729,292 1,864,646 932,323 2,796,970 1,398,485 4,195,456 2,097,728 1,048,864 524,432 262,216 131,108 65,554 32,777 98,332 49,166 24,583 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116

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