3,003,156

2² × 3⁴ × 13 × 23 × 31

3,003,156 factors as 2^2 × 3^4 × 13 × 23 × 31. Its 120 positive divisors give a proper-divisor sum of 6,103,788, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 9,106,944

Proper Divisor Sum 6,103,788

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3003149 ← → #3003157

Radix Representation

Decimal	3003156
Binary	1011011101001100010100 (22 bits)
Octal	0o13351424
Hexadecimal	0x2DD314

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 13 18 23 26 27 31 36 39 46 52 54 62 69 78 81 92 93 108 117 124 138 156 162 186 207 234 276 279 299 324 351 372 403 414 468 558 598 621 702 713 806 828 837 897 1,053 1,116 1,196 1,209 1,242 1,404 1,426 1,612 1,674

Collatz Trajectory (164 steps to reach 1)

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

3,003,156 1,501,578 750,789 2,252,368 1,126,184 563,092 281,546 140,773 422,320 211,160 105,580 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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