424,344

2³ × 3 × 17681

Starting at 424,344, the Collatz iteration reaches 1 after 81 steps. The first transition is 212172; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17681

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,060,920

Proper Divisor Sum 636,576

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #424343 ← → #424351

Radix Representation

Decimal	424344
Binary	1100111100110011000 (19 bits)
Octal	0o1474630
Hexadecimal	0x67998

Divisor Catalog (16)

1 2 3 4 6 8 12 24 17,681 35,362 53,043 70,724 106,086 141,448 212,172 424,344

Collatz Trajectory (81 steps to reach 1)

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

424,344 212,172 106,086 53,043 159,130 79,565 238,696 119,348 59,674 29,837 89,512 44,756 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

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