3,215,082

2 × 3 × 13 × 47 × 877

3,215,082 has digital root 3. The neighboring primes are 3215081 and 3215083; its proper-divisor sum differs from the starting integer by 650,028.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 47 × 877

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,080,192

Proper Divisor Sum 3,865,110

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3215081 ← → #3215083

Radix Representation

Decimal	3215082
Binary	1100010000111011101010 (22 bits)
Octal	0o14207352
Hexadecimal	0x310EEA

Divisor Catalog (32)

1 2 3 6 13 26 39 47 78 94 141 282 611 877 1,222 1,754 1,833 2,631 3,666 5,262 11,401 22,802 34,203 41,219 68,406 82,438 123,657 247,314 535,847 1,071,694 1,607,541 3,215,082

Collatz Trajectory (71 steps to reach 1)

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

3,215,082 1,607,541 4,822,624 2,411,312 1,205,656 602,828 301,414 150,707 452,122 226,061 678,184 339,092 169,546 84,773 254,320 127,160 63,580 31,790 15,895 47,686 23,843 71,530 35,765 107,296 53,648 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17

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