600,336

2⁴ × 3² × 11 × 379

600,336 factors as 2^4 × 3^2 × 11 × 379. Its 60 positive divisors give a proper-divisor sum of 1,237,344, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,837,680

Proper Divisor Sum 1,237,344

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #600319 ← → #600337

Radix Representation

Decimal	600336
Binary	10010010100100010000 (20 bits)
Octal	0o2224420
Hexadecimal	0x92910

Divisor Catalog (60)

1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 379 396 528 758 792 1,137 1,516 1,584 2,274 3,032 3,411 4,169 4,548 6,064 6,822 8,338 9,096 12,507 13,644 16,676 18,192 25,014 27,288 33,352 37,521 50,028 54,576 66,704 75,042 100,056 150,084 200,112 300,168 600,336

Collatz Trajectory (115 steps to reach 1)

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

600,336 300,168 150,084 75,042 37,521 112,564 56,282 28,141 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

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