42,190,820

2² × 5 × 7 × 301363

42,190,820 factors as 2^2 × 5 × 7 × 301363. Its 24 positive divisors give a proper-divisor sum of 59,067,484, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 301363

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 101,258,304

Proper Divisor Sum 59,067,484

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42190769 ← → #42190847

Radix Representation

Decimal	42190820
Binary	10100000111100011111100100 (26 bits)
Octal	0o240743744
Hexadecimal	0x283C7E4

Divisor Catalog (24)

Collatz Trajectory (98 steps to reach 1)

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

42,190,820 21,095,410 10,547,705 31,643,116 15,821,558 7,910,779 23,732,338 11,866,169 35,598,508 17,799,254 8,899,627 26,698,882 13,349,441 40,048,324 20,024,162 10,012,081 30,036,244 15,018,122 7,509,061 22,527,184 11,263,592 5,631,796 2,815,898 1,407,949 4,223,848 2,111,924 1,055,962 527,981 1,583,944 791,972 395,986 197,993 593,980 296,990 148,495 445,486 222,743 668,230 334,115 1,002,346 501,173 1,503,520 751,760 375,880 187,940 93,970 46,985 140,956 70,478 35,239 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604

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