42,170,146

2 × 1009 × 20897

42,170,146 factors as 2 × 1009 × 20897. Its 8 positive divisors give a proper-divisor sum of 21,150,794, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 1009 × 20897

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 63,320,940

Proper Divisor Sum 21,150,794

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #42170123 ← → #42170171

Radix Representation

Decimal	42170146
Binary	10100000110111011100100010 (26 bits)
Octal	0o240673442
Hexadecimal	0x2837722

Divisor Catalog (8)

1 2 1,009 2,018 20,897 41,794 21,085,073 42,170,146

Collatz Trajectory (129 steps to reach 1)

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

42,170,146 21,085,073 63,255,220 31,627,610 15,813,805 47,441,416 23,720,708 11,860,354 5,930,177 17,790,532 8,895,266 4,447,633 13,342,900 6,671,450 3,335,725 10,007,176 5,003,588 2,501,794 1,250,897 3,752,692 1,876,346 938,173 2,814,520 1,407,260 703,630 351,815 1,055,446 527,723 1,583,170 791,585 2,374,756 1,187,378 593,689 1,781,068 890,534 445,267 1,335,802 667,901 2,003,704 1,001,852 500,926 250,463 751,390 375,695 1,127,086 563,543 1,690,630 845,315 2,535,946 1,267,973 3,803,920 1,901,960 950,980 475,490 237,745 713,236 356,618 178,309 534,928 267,464

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