3,134,640

2⁴ × 3 × 5 × 37 × 353

3,134,640 factors as 2^4 × 3 × 5 × 37 × 353. Its 80 positive divisors give a proper-divisor sum of 6,873,648, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 37 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 10,008,288

Proper Divisor Sum 6,873,648

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3134633 ← → #3134671

Radix Representation

Decimal	3134640
Binary	1011111101010010110000 (22 bits)
Octal	0o13752260
Hexadecimal	0x2FD4B0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 353 370 444 555 592 706 740 888 1,059 1,110 1,412 1,480 1,765 1,776 2,118 2,220 2,824 2,960 3,530 4,236 4,440 5,295 5,648 7,060 8,472 8,880 10,590 13,061 14,120 16,944 21,180 26,122 28,240

Collatz Trajectory (182 steps to reach 1)

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

3,134,640 1,567,320 783,660 391,830 195,915 587,746 293,873 881,620 440,810 220,405 661,216 330,608 165,304 82,652 41,326 20,663 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817

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