2,928,012

2² × 3 × 17 × 31 × 463

2,928,012 factors as 2^2 × 3 × 17 × 31 × 463. Its 48 positive divisors give a proper-divisor sum of 4,555,380, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 31 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,483,392

Proper Divisor Sum 4,555,380

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2928007 ← → #2928017

Radix Representation

Decimal	2928012
Binary	1011001010110110001100 (22 bits)
Octal	0o13126614
Hexadecimal	0x2CAD8C

Divisor Catalog (48)

1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 463 527 926 1,054 1,389 1,581 1,852 2,108 2,778 3,162 5,556 6,324 7,871 14,353 15,742 23,613 28,706 31,484 43,059 47,226 57,412 86,118 94,452 172,236 244,001 488,002 732,003 976,004 1,464,006 2,928,012

Collatz Trajectory (76 steps to reach 1)

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

2,928,012 1,464,006 732,003 2,196,010 1,098,005 3,294,016 1,647,008 823,504 411,752 205,876 102,938 51,469 154,408 77,204 38,602 19,301 57,904 28,952 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88

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