42,766,918

2 × 31 × 689789

42,766,918 factors as 2 × 31 × 689789. Its 8 positive divisors give a proper-divisor sum of 23,452,922, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 31 × 689789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 66,219,840

Proper Divisor Sum 23,452,922

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #42766819 ← → #42766961

Radix Representation

Decimal	42766918
Binary	10100011001001001001000110 (26 bits)
Octal	0o243111106
Hexadecimal	0x28C9246

Divisor Catalog (8)

1 2 31 62 689,789 1,379,578 21,383,459 42,766,918

Collatz Trajectory (147 steps to reach 1)

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

42,766,918 21,383,459 64,150,378 32,075,189 96,225,568 48,112,784 24,056,392 12,028,196 6,014,098 3,007,049 9,021,148 4,510,574 2,255,287 6,765,862 3,382,931 10,148,794 5,074,397 15,223,192 7,611,596 3,805,798 1,902,899 5,708,698 2,854,349 8,563,048 4,281,524 2,140,762 1,070,381 3,211,144 1,605,572 802,786 401,393 1,204,180 602,090 301,045 903,136 451,568 225,784 112,892 56,446 28,223 84,670 42,335 127,006 63,503 190,510 95,255 285,766 142,883 428,650 214,325 642,976 321,488 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535

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