42,003,238

2 × 67 × 331 × 947

42,003,238 factors as 2 × 67 × 331 × 947. Its 16 positive divisors give a proper-divisor sum of 22,202,906, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 67 × 331 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,206,144

Proper Divisor Sum 22,202,906

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #42003211 ← → #42003239

Radix Representation

Decimal	42003238
Binary	10100000001110101100100110 (26 bits)
Octal	0o240165446
Hexadecimal	0x280EB26

Divisor Catalog (16)

1 2 67 134 331 662 947 1,894 22,177 44,354 63,449 126,898 313,457 626,914 21,001,619 42,003,238

Collatz Trajectory (160 steps to reach 1)

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

42,003,238 21,001,619 63,004,858 31,502,429 94,507,288 47,253,644 23,626,822 11,813,411 35,440,234 17,720,117 53,160,352 26,580,176 13,290,088 6,645,044 3,322,522 1,661,261 4,983,784 2,491,892 1,245,946 622,973 1,868,920 934,460 467,230 233,615 700,846 350,423 1,051,270 525,635 1,576,906 788,453 2,365,360 1,182,680 591,340 295,670 147,835 443,506 221,753 665,260 332,630 166,315 498,946 249,473 748,420 374,210 187,105 561,316 280,658 140,329 420,988 210,494 105,247 315,742 157,871 473,614 236,807 710,422 355,211 1,065,634 532,817 1,598,452

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