3,239,442

2 × 3² × 179969

3,239,442 factors as 2 × 3^2 × 179969. Its 12 positive divisors give a proper-divisor sum of 3,779,388, so this integer is abundant. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 179969

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,018,830

Proper Divisor Sum 3,779,388

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3239429 ← → #3239449

Radix Representation

Decimal	3239442
Binary	1100010110111000010010 (22 bits)
Octal	0o14267022
Hexadecimal	0x316E12

Divisor Catalog (12)

1 2 3 6 9 18 179,969 359,938 539,907 1,079,814 1,619,721 3,239,442

Collatz Trajectory (239 steps to reach 1)

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

3,239,442 1,619,721 4,859,164 2,429,582 1,214,791 3,644,374 1,822,187 5,466,562 2,733,281 8,199,844 4,099,922 2,049,961 6,149,884 3,074,942 1,537,471 4,612,414 2,306,207 6,918,622 3,459,311 10,377,934 5,188,967 15,566,902 7,783,451 23,350,354 11,675,177 35,025,532 17,512,766 8,756,383 26,269,150 13,134,575 39,403,726 19,701,863 59,105,590 29,552,795 88,658,386 44,329,193 132,987,580 66,493,790 33,246,895 99,740,686 49,870,343 149,611,030 74,805,515 224,416,546 112,208,273 336,624,820 168,312,410 84,156,205 252,468,616 126,234,308 63,117,154 31,558,577 94,675,732 47,337,866 23,668,933 71,006,800 35,503,400 17,751,700 8,875,850 4,437,925

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