42,087,716

2² × 11 × 17 × 56267

42,087,716 factors as 2^2 × 11 × 17 × 56267. Its 24 positive divisors give a proper-divisor sum of 42,989,500, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 56267

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 85,077,216

Proper Divisor Sum 42,989,500

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #42087713 ← → #42087719

Radix Representation

Decimal	42087716
Binary	10100000100011010100100100 (26 bits)
Octal	0o240432444
Hexadecimal	0x2823524

Divisor Catalog (24)

Collatz Trajectory (222 steps to reach 1)

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

42,087,716 21,043,858 10,521,929 31,565,788 15,782,894 7,891,447 23,674,342 11,837,171 35,511,514 17,755,757 53,267,272 26,633,636 13,316,818 6,658,409 19,975,228 9,987,614 4,993,807 14,981,422 7,490,711 22,472,134 11,236,067 33,708,202 16,854,101 50,562,304 25,281,152 12,640,576 6,320,288 3,160,144 1,580,072 790,036 395,018 197,509 592,528 296,264 148,132 74,066 37,033 111,100 55,550 27,775 83,326 41,663 124,990 62,495 187,486 93,743 281,230 140,615 421,846 210,923 632,770 316,385 949,156 474,578 237,289 711,868 355,934 177,967 533,902 266,951

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