42,192,513

3² × 11 × 67 × 6361

42,192,513 factors as 3^2 × 11 × 67 × 6361. Its 24 positive divisors give a proper-divisor sum of 25,295,583, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 67 × 6361

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 67,488,096

Proper Divisor Sum 25,295,583

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #42192509 ← → #42192523

Radix Representation

Decimal	42192513
Binary	10100000111100111010000001 (26 bits)
Octal	0o240747201
Hexadecimal	0x283CE81

Divisor Catalog (24)

Collatz Trajectory (152 steps to reach 1)

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

42,192,513 126,577,540 63,288,770 31,644,385 94,933,156 47,466,578 23,733,289 71,199,868 35,599,934 17,799,967 53,399,902 26,699,951 80,099,854 40,049,927 120,149,782 60,074,891 180,224,674 90,112,337 270,337,012 135,168,506 67,584,253 202,752,760 101,376,380 50,688,190 25,344,095 76,032,286 38,016,143 114,048,430 57,024,215 171,072,646 85,536,323 256,608,970 128,304,485 384,913,456 192,456,728 96,228,364 48,114,182 24,057,091 72,171,274 36,085,637 108,256,912 54,128,456 27,064,228 13,532,114 6,766,057 20,298,172 10,149,086 5,074,543 15,223,630 7,611,815 22,835,446 11,417,723 34,253,170 17,126,585 51,379,756 25,689,878 12,844,939 38,534,818 19,267,409 57,802,228

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