3,003,160

2³ × 5 × 75079

3,003,160 factors as 2^3 × 5 × 75079. Its 16 positive divisors give a proper-divisor sum of 3,754,040, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 75079

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,757,200

Proper Divisor Sum 3,754,040

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #3003157 ← → #3003167

Radix Representation

Decimal	3003160
Binary	1011011101001100011000 (22 bits)
Octal	0o13351430
Hexadecimal	0x2DD318

Divisor Catalog (16)

1 2 4 5 8 10 20 40 75,079 150,158 300,316 375,395 600,632 750,790 1,501,580 3,003,160

Collatz Trajectory (164 steps to reach 1)

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

3,003,160 1,501,580 750,790 375,395 1,126,186 563,093 1,689,280 844,640 422,320 211,160 105,580 52,790 26,395 79,186 39,593 118,780 59,390 29,695 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226 1,141,613 3,424,840 1,712,420 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474

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