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30,300

22 × 3 × 52 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 88,536
Proper Divisor Sum 58,236
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #30293 ← → #30307

Radix Representation

Decimal 30300
Binary 111011001011100 (15 bits)
Octal 0o73134
Hexadecimal 0x765C

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1,010 1,212 1,515 2,020 2,525 3,030 5,050 6,060 7,575 10,100 15,150 30,300

Collatz Trajectory (85 steps to reach 1)

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

30,300 15,150 7,575 22,726 11,363 34,090 17,045 51,136 25,568 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

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