42,075,908

2² × 7² × 214673

42,075,908 factors as 2^2 × 7^2 × 214673. Its 18 positive divisors give a proper-divisor sum of 43,579,018, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 214673

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 85,654,926

Proper Divisor Sum 43,579,018

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #42075871 ← → #42075941

Radix Representation

Decimal	42075908
Binary	10100000100000011100000100 (26 bits)
Octal	0o240403404
Hexadecimal	0x2820704

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 214,673 429,346 858,692 1,502,711 3,005,422 6,010,844 10,518,977 21,037,954 42,075,908

Collatz Trajectory (152 steps to reach 1)

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

42,075,908 21,037,954 10,518,977 31,556,932 15,778,466 7,889,233 23,667,700 11,833,850 5,916,925 17,750,776 8,875,388 4,437,694 2,218,847 6,656,542 3,328,271 9,984,814 4,992,407 14,977,222 7,488,611 22,465,834 11,232,917 33,698,752 16,849,376 8,424,688 4,212,344 2,106,172 1,053,086 526,543 1,579,630 789,815 2,369,446 1,184,723 3,554,170 1,777,085 5,331,256 2,665,628 1,332,814 666,407 1,999,222 999,611 2,998,834 1,499,417 4,498,252 2,249,126 1,124,563 3,373,690 1,686,845 5,060,536 2,530,268 1,265,134 632,567 1,897,702 948,851 2,846,554 1,423,277 4,269,832 2,134,916 1,067,458 533,729 1,601,188

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