3,350,640

2⁴ × 3 × 5 × 23 × 607

3,350,640 factors as 2^4 × 3 × 5 × 23 × 607. Its 80 positive divisors give a proper-divisor sum of 7,505,808, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 23 × 607

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 10,856,448

Proper Divisor Sum 7,505,808

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3350629 ← → #3350651

Radix Representation

Decimal	3350640
Binary	1100110010000001110000 (22 bits)
Octal	0o14620160
Hexadecimal	0x332070

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 607 690 920 1,104 1,214 1,380 1,821 1,840 2,428 2,760 3,035 3,642 4,856 5,520 6,070 7,284 9,105 9,712 12,140 13,961 14,568 18,210 24,280 27,922 29,136 36,420 41,883

Collatz Trajectory (115 steps to reach 1)

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

3,350,640 1,675,320 837,660 418,830 209,415 628,246 314,123 942,370 471,185 1,413,556 706,778 353,389 1,060,168 530,084 265,042 132,521 397,564 198,782 99,391 298,174 149,087 447,262 223,631 670,894 335,447 1,006,342 503,171 1,509,514 754,757 2,264,272 1,132,136 566,068 283,034 141,517 424,552 212,276 106,138 53,069 159,208 79,604 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256

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