578,652

2² × 3 × 48221

Starting at 578,652, the Collatz iteration reaches 1 after 97 steps. The first transition is 289326; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 48221

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,350,216

Proper Divisor Sum 771,564

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #578647 ← → #578659

Radix Representation

Decimal	578652
Binary	10001101010001011100 (20 bits)
Octal	0o2152134
Hexadecimal	0x8D45C

Divisor Catalog (12)

1 2 3 4 6 12 48,221 96,442 144,663 192,884 289,326 578,652

Collatz Trajectory (97 steps to reach 1)

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

578,652 289,326 144,663 433,990 216,995 650,986 325,493 976,480 488,240 244,120 122,060 61,030 30,515 91,546 45,773 137,320 68,660 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614

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