42,428,446

2 × 1373 × 15451

42,428,446 factors as 2 × 1373 × 15451. Its 8 positive divisors give a proper-divisor sum of 21,264,698, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 1373 × 15451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 63,693,144

Proper Divisor Sum 21,264,698

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42428443 ← → #42428453

Radix Representation

Decimal	42428446
Binary	10100001110110100000011110 (26 bits)
Octal	0o241664036
Hexadecimal	0x287681E

Divisor Catalog (8)

1 2 1,373 2,746 15,451 30,902 21,214,223 42,428,446

Collatz Trajectory (173 steps to reach 1)

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

42,428,446 21,214,223 63,642,670 31,821,335 95,464,006 47,732,003 143,196,010 71,598,005 214,794,016 107,397,008 53,698,504 26,849,252 13,424,626 6,712,313 20,136,940 10,068,470 5,034,235 15,102,706 7,551,353 22,654,060 11,327,030 5,663,515 16,990,546 8,495,273 25,485,820 12,742,910 6,371,455 19,114,366 9,557,183 28,671,550 14,335,775 43,007,326 21,503,663 64,510,990 32,255,495 96,766,486 48,383,243 145,149,730 72,574,865 217,724,596 108,862,298 54,431,149 163,293,448 81,646,724 40,823,362 20,411,681 61,235,044 30,617,522 15,308,761 45,926,284 22,963,142 11,481,571 34,444,714 17,222,357 51,667,072 25,833,536 12,916,768 6,458,384 3,229,192 1,614,596

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