7,221,060

2² × 3² × 5 × 7 × 11 × 521

7,221,060 has the prime decomposition 2^2 × 3^2 × 5 × 7 × 11 × 521. Its 6 distinct prime factors produce 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 11 × 521

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 27,361,152

Proper Divisor Sum 20,140,092

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7221041 ← → #7221077

Radix Representation

Decimal	7221060
Binary	11011100010111101000100 (23 bits)
Octal	0o33427504
Hexadecimal	0x6E2F44

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 521 630 660 693 770

Collatz Trajectory (90 steps to reach 1)

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

7,221,060 3,610,530 1,805,265 5,415,796 2,707,898 1,353,949 4,061,848 2,030,924 1,015,462 507,731 1,523,194 761,597 2,284,792 1,142,396 571,198 285,599 856,798 428,399 1,285,198 642,599 1,927,798 963,899 2,891,698 1,445,849 4,337,548 2,168,774 1,084,387 3,253,162 1,626,581 4,879,744 2,439,872 1,219,936 609,968 304,984 152,492 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802

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