42,469,836

2² × 3 × 521 × 6793

42,469,836 factors as 2^2 × 3 × 521 × 6793. Its 24 positive divisors give a proper-divisor sum of 56,831,268, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 521 × 6793

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 99,301,104

Proper Divisor Sum 56,831,268

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #42469831 ← → #42469837

Radix Representation

Decimal	42469836
Binary	10100010000000100111001100 (26 bits)
Octal	0o242004714
Hexadecimal	0x28809CC

Divisor Catalog (24)

Collatz Trajectory (222 steps to reach 1)

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

42,469,836 21,234,918 10,617,459 31,852,378 15,926,189 47,778,568 23,889,284 11,944,642 5,972,321 17,916,964 8,958,482 4,479,241 13,437,724 6,718,862 3,359,431 10,078,294 5,039,147 15,117,442 7,558,721 22,676,164 11,338,082 5,669,041 17,007,124 8,503,562 4,251,781 12,755,344 6,377,672 3,188,836 1,594,418 797,209 2,391,628 1,195,814 597,907 1,793,722 896,861 2,690,584 1,345,292 672,646 336,323 1,008,970 504,485 1,513,456 756,728 378,364 189,182 94,591 283,774 141,887 425,662 212,831 638,494 319,247 957,742 478,871 1,436,614 718,307 2,154,922 1,077,461 3,232,384 1,616,192

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