42,663,261

3 × 71 × 200297

42,663,261 factors as 3 × 71 × 200297. Its 8 positive divisors give a proper-divisor sum of 15,022,563, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3 × 71 × 200297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 57,685,824

Proper Divisor Sum 15,022,563

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #42663253 ← → #42663277

Radix Representation

Decimal	42663261
Binary	10100010101111110101011101 (26 bits)
Octal	0o242576535
Hexadecimal	0x28AFD5D

Divisor Catalog (8)

1 3 71 213 200,297 600,891 14,221,087 42,663,261

Collatz Trajectory (266 steps to reach 1)

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

42,663,261 127,989,784 63,994,892 31,997,446 15,998,723 47,996,170 23,998,085 71,994,256 35,997,128 17,998,564 8,999,282 4,499,641 13,498,924 6,749,462 3,374,731 10,124,194 5,062,097 15,186,292 7,593,146 3,796,573 11,389,720 5,694,860 2,847,430 1,423,715 4,271,146 2,135,573 6,406,720 3,203,360 1,601,680 800,840 400,420 200,210 100,105 300,316 150,158 75,079 225,238 112,619 337,858 168,929 506,788 253,394 126,697 380,092 190,046 95,023 285,070 142,535 427,606 213,803 641,410 320,705 962,116 481,058 240,529 721,588 360,794 180,397 541,192 270,596

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