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7,209,700

22 × 52 × 17 × 4241
Abundant Even Composite

7,209,700 factors as 2^2 × 5^2 × 17 × 4241. Its 36 positive divisors give a proper-divisor sum of 9,359,552, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 4241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,569,252
Proper Divisor Sum 9,359,552
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7209689 ← → #7209703

Radix Representation

Decimal 7209700
Binary 11011100000001011100100 (23 bits)
Octal 0o33401344
Hexadecimal 0x6E02E4

Divisor Catalog (36)

1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1,700 4,241 8,482 16,964 21,205 42,410 72,097 84,820 106,025 144,194 212,050 288,388 360,485 424,100 720,970 1,441,940 1,802,425 3,604,850 7,209,700

Collatz Trajectory (222 steps to reach 1)

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

7,209,700 3,604,850 1,802,425 5,407,276 2,703,638 1,351,819 4,055,458 2,027,729 6,083,188 3,041,594 1,520,797 4,562,392 2,281,196 1,140,598 570,299 1,710,898 855,449 2,566,348 1,283,174 641,587 1,924,762 962,381 2,887,144 1,443,572 721,786 360,893 1,082,680 541,340 270,670 135,335 406,006 203,003 609,010 304,505 913,516 456,758 228,379 685,138 342,569 1,027,708 513,854 256,927 770,782 385,391 1,156,174 578,087 1,734,262 867,131 2,601,394 1,300,697 3,902,092 1,951,046 975,523 2,926,570 1,463,285 4,389,856 2,194,928 1,097,464 548,732 274,366

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