334,728

2³ × 3² × 4649

334,728 factors as 2^3 × 3^2 × 4649. Its 24 positive divisors give a proper-divisor sum of 572,022, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 4649

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 906,750

Proper Divisor Sum 572,022

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #334727 ← → #334751

Radix Representation

Decimal	334728
Binary	1010001101110001000 (19 bits)
Octal	0o1215610
Hexadecimal	0x51B88

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 4,649 9,298 13,947 18,596 27,894 37,192 41,841 55,788 83,682 111,576 167,364 334,728

Collatz Trajectory (184 steps to reach 1)

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

334,728 167,364 83,682 41,841 125,524 62,762 31,381 94,144 47,072 23,536 11,768 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125

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