2,995,440

2⁴ × 3 × 5 × 7 × 1783

2,995,440 factors as 2^4 × 3 × 5 × 7 × 1783. Its 80 positive divisors give a proper-divisor sum of 7,622,928, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 1783

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 10,618,368

Proper Divisor Sum 7,622,928

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2995427 ← → #2995459

Radix Representation

Decimal	2995440
Binary	1011011011010011110000 (22 bits)
Octal	0o13332360
Hexadecimal	0x2DB4F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1,680 1,783 3,566 5,349 7,132 8,915 10,698 12,481 14,264 17,830 21,396 24,962 26,745 28,528 35,660 37,443 42,792 49,924 53,490 62,405 71,320

Collatz Trajectory (213 steps to reach 1)

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

2,995,440 1,497,720 748,860 374,430 187,215 561,646 280,823 842,470 421,235 1,263,706 631,853 1,895,560 947,780 473,890 236,945 710,836 355,418 177,709 533,128 266,564 133,282 66,641 199,924 99,962 49,981 149,944 74,972 37,486 18,743 56,230 28,115 84,346 42,173 126,520 63,260 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006

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