600,552

2³ × 3² × 19 × 439

600,552 factors as 2^3 × 3^2 × 19 × 439. Its 48 positive divisors give a proper-divisor sum of 1,115,448, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,716,000

Proper Divisor Sum 1,115,448

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #600529 ← → #600557

Radix Representation

Decimal	600552
Binary	10010010100111101000 (20 bits)
Octal	0o2224750
Hexadecimal	0x929E8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 439 456 684 878 1,317 1,368 1,756 2,634 3,512 3,951 5,268 7,902 8,341 10,536 15,804 16,682 25,023 31,608 33,364 50,046 66,728 75,069 100,092 150,138 200,184 300,276 600,552

Collatz Trajectory (115 steps to reach 1)

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

600,552 300,276 150,138 75,069 225,208 112,604 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 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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