2,872,674

2 × 3² × 7² × 3257

2,872,674 factors as 2 × 3^2 × 7^2 × 3257. Its 36 positive divisors give a proper-divisor sum of 4,369,860, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 3257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,242,534

Proper Divisor Sum 4,369,860

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2872669 ← → #2872691

Radix Representation

Decimal	2872674
Binary	1010111101010101100010 (22 bits)
Octal	0o12752542
Hexadecimal	0x2BD562

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 3,257 6,514 9,771 19,542 22,799 29,313 45,598 58,626 68,397 136,794 159,593 205,191 319,186 410,382 478,779 957,558 1,436,337 2,872,674

Collatz Trajectory (120 steps to reach 1)

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

2,872,674 1,436,337 4,309,012 2,154,506 1,077,253 3,231,760 1,615,880 807,940 403,970 201,985 605,956 302,978 151,489 454,468 227,234 113,617 340,852 170,426 85,213 255,640 127,820 63,910 31,955 95,866 47,933 143,800 71,900 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336

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