42,130,732

2² × 7 × 1504669

42,130,732 factors as 2^2 × 7 × 1504669. Its 12 positive divisors give a proper-divisor sum of 42,130,788, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1504669

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 84,261,520

Proper Divisor Sum 42,130,788

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #42130703 ← → #42130741

Radix Representation

Decimal	42130732
Binary	10100000101101110100101100 (26 bits)
Octal	0o240556454
Hexadecimal	0x282DD2C

Divisor Catalog (12)

1 2 4 7 14 28 1,504,669 3,009,338 6,018,676 10,532,683 21,065,366 42,130,732

Collatz Trajectory (98 steps to reach 1)

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

42,130,732 21,065,366 10,532,683 31,598,050 15,799,025 47,397,076 23,698,538 11,849,269 35,547,808 17,773,904 8,886,952 4,443,476 2,221,738 1,110,869 3,332,608 1,666,304 833,152 416,576 208,288 104,144 52,072 26,036 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241

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