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Atlas › Integer Profiles › Node 3,500,550

3,500,550

2 × 33 × 52 × 2593
Abundant Even Composite

3,500,550 factors as 2 × 3^3 × 5^2 × 2593. Its 48 positive divisors give a proper-divisor sum of 6,149,130, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 2593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,649,680
Proper Divisor Sum 6,149,130
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3500537 ← → #3500557

Radix Representation

Decimal 3500550
Binary 1101010110101000000110 (22 bits)
Octal 0o15265006
Hexadecimal 0x356A06

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1,350 2,593 5,186 7,779 12,965 15,558 23,337 25,930 38,895 46,674 64,825 70,011 77,790 116,685 129,650 140,022 194,475 233,370 350,055 388,950 583,425 700,110 1,166,850 1,750,275 3,500,550

Collatz Trajectory (128 steps to reach 1)

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

3,500,550 1,750,275 5,250,826 2,625,413 7,876,240 3,938,120 1,969,060 984,530 492,265 1,476,796 738,398 369,199 1,107,598 553,799 1,661,398 830,699 2,492,098 1,246,049 3,738,148 1,869,074 934,537 2,803,612 1,401,806 700,903 2,102,710 1,051,355 3,154,066 1,577,033 4,731,100 2,365,550 1,182,775 3,548,326 1,774,163 5,322,490 2,661,245 7,983,736 3,991,868 1,995,934 997,967 2,993,902 1,496,951 4,490,854 2,245,427 6,736,282 3,368,141 10,104,424 5,052,212 2,526,106 1,263,053 3,789,160 1,894,580 947,290 473,645 1,420,936 710,468 355,234 177,617 532,852 266,426 133,213

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