4,100,239

11 × 13 × 53 × 541

4,100,239 factors as 11 × 13 × 53 × 541. Its 16 positive divisors give a proper-divisor sum of 816,785, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 11 × 13 × 53 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,917,024

Proper Divisor Sum 816,785

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4100231 ← → #4100249

Radix Representation

Decimal	4100239
Binary	1111101001000010001111 (22 bits)
Octal	0o17510217
Hexadecimal	0x3E908F

Divisor Catalog (16)

1 11 13 53 143 541 583 689 5,951 7,033 7,579 28,673 77,363 315,403 372,749 4,100,239

Collatz Trajectory (105 steps to reach 1)

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

4,100,239 12,300,718 6,150,359 18,451,078 9,225,539 27,676,618 13,838,309 41,514,928 20,757,464 10,378,732 5,189,366 2,594,683 7,784,050 3,892,025 11,676,076 5,838,038 2,919,019 8,757,058 4,378,529 13,135,588 6,567,794 3,283,897 9,851,692 4,925,846 2,462,923 7,388,770 3,694,385 11,083,156 5,541,578 2,770,789 8,312,368 4,156,184 2,078,092 1,039,046 519,523 1,558,570 779,285 2,337,856 1,168,928 584,464 292,232 146,116 73,058 36,529 109,588 54,794 27,397 82,192 41,096 20,548 10,274 5,137 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336

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