4,072,017

3 × 89 × 101 × 151

4,072,017 factors as 3 × 89 × 101 × 151. Its 16 positive divisors give a proper-divisor sum of 1,509,423, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3 × 89 × 101 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,581,440

Proper Divisor Sum 1,509,423

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4072009 ← → #4072039

Radix Representation

Decimal	4072017
Binary	1111100010001001010001 (22 bits)
Octal	0o17421121
Hexadecimal	0x3E2251

Divisor Catalog (16)

1 3 89 101 151 267 303 453 8,989 13,439 15,251 26,967 40,317 45,753 1,357,339 4,072,017

Collatz Trajectory (229 steps to reach 1)

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

4,072,017 12,216,052 6,108,026 3,054,013 9,162,040 4,581,020 2,290,510 1,145,255 3,435,766 1,717,883 5,153,650 2,576,825 7,730,476 3,865,238 1,932,619 5,797,858 2,898,929 8,696,788 4,348,394 2,174,197 6,522,592 3,261,296 1,630,648 815,324 407,662 203,831 611,494 305,747 917,242 458,621 1,375,864 687,932 343,966 171,983 515,950 257,975 773,926 386,963 1,160,890 580,445 1,741,336 870,668 435,334 217,667 653,002 326,501 979,504 489,752 244,876 122,438 61,219 183,658 91,829 275,488 137,744 68,872 34,436 17,218 8,609 25,828

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