42,003,124

2² × 17 × 617693

42,003,124 factors as 2^2 × 17 × 617693. Its 12 positive divisors give a proper-divisor sum of 35,826,320, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 617693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 77,829,444

Proper Divisor Sum 35,826,320

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #42003119 ← → #42003127

Radix Representation

Decimal	42003124
Binary	10100000001110101010110100 (26 bits)
Octal	0o240165264
Hexadecimal	0x280EAB4

Divisor Catalog (12)

1 2 4 17 34 68 617,693 1,235,386 2,470,772 10,500,781 21,001,562 42,003,124

Collatz Trajectory (160 steps to reach 1)

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

42,003,124 21,001,562 10,500,781 31,502,344 15,751,172 7,875,586 3,937,793 11,813,380 5,906,690 2,953,345 8,860,036 4,430,018 2,215,009 6,645,028 3,322,514 1,661,257 4,983,772 2,491,886 1,245,943 3,737,830 1,868,915 5,606,746 2,803,373 8,410,120 4,205,060 2,102,530 1,051,265 3,153,796 1,576,898 788,449 2,365,348 1,182,674 591,337 1,774,012 887,006 443,503 1,330,510 665,255 1,995,766 997,883 2,993,650 1,496,825 4,490,476 2,245,238 1,122,619 3,367,858 1,683,929 5,051,788 2,525,894 1,262,947 3,788,842 1,894,421 5,683,264 2,841,632 1,420,816 710,408 355,204 177,602 88,801 266,404

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