42,232,742

2 × 2389 × 8839

42,232,742 factors as 2 × 2389 × 8839. Its 8 positive divisors give a proper-divisor sum of 21,150,058, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 2389 × 8839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 63,382,800

Proper Divisor Sum 21,150,058

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42232739 ← → #42232753

Radix Representation

Decimal	42232742
Binary	10100001000110101110100110 (26 bits)
Octal	0o241065646
Hexadecimal	0x2846BA6

Divisor Catalog (8)

1 2 2,389 4,778 8,839 17,678 21,116,371 42,232,742

Collatz Trajectory (204 steps to reach 1)

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

42,232,742 21,116,371 63,349,114 31,674,557 95,023,672 47,511,836 23,755,918 11,877,959 35,633,878 17,816,939 53,450,818 26,725,409 80,176,228 40,088,114 20,044,057 60,132,172 30,066,086 15,033,043 45,099,130 22,549,565 67,648,696 33,824,348 16,912,174 8,456,087 25,368,262 12,684,131 38,052,394 19,026,197 57,078,592 28,539,296 14,269,648 7,134,824 3,567,412 1,783,706 891,853 2,675,560 1,337,780 668,890 334,445 1,003,336 501,668 250,834 125,417 376,252 188,126 94,063 282,190 141,095 423,286 211,643 634,930 317,465 952,396 476,198 238,099 714,298 357,149 1,071,448 535,724 267,862

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