4,007,064

2³ × 3 × 199 × 839

4,007,064 is even and not a perfect square. Its factorization is 2^3 × 3 × 199 × 839 and its 32 divisors sum to 10,080,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 199 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,080,000

Proper Divisor Sum 6,072,936

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4007039 ← → #4007071

Radix Representation

Decimal	4007064
Binary	1111010010010010011000 (22 bits)
Octal	0o17222230
Hexadecimal	0x3D2498

Divisor Catalog (32)

1 2 3 4 6 8 12 24 199 398 597 796 839 1,194 1,592 1,678 2,388 2,517 3,356 4,776 5,034 6,712 10,068 20,136 166,961 333,922 500,883 667,844 1,001,766 1,335,688 2,003,532 4,007,064

Collatz Trajectory (141 steps to reach 1)

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

4,007,064 2,003,532 1,001,766 500,883 1,502,650 751,325 2,253,976 1,126,988 563,494 281,747 845,242 422,621 1,267,864 633,932 316,966 158,483 475,450 237,725 713,176 356,588 178,294 89,147 267,442 133,721 401,164 200,582 100,291 300,874 150,437 451,312 225,656 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330 101,665 304,996 152,498

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