4,007,184

2⁴ × 3 × 31 × 2693

4,007,184 has digital root 6. The neighboring primes are 4007183 and 4007207; its proper-divisor sum differs from the starting integer by 2,675,424.

Prime Factor Structure

Factorization String 2^4 × 3 × 31 × 2693

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,689,792

Proper Divisor Sum 6,682,608

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4007183 ← → #4007207

Radix Representation

Decimal	4007184
Binary	1111010010010100010000 (22 bits)
Octal	0o17222420
Hexadecimal	0x3D2510

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1,488 2,693 5,386 8,079 10,772 16,158 21,544 32,316 43,088 64,632 83,483 129,264 166,966 250,449 333,932 500,898 667,864 1,001,796 1,335,728 2,003,592 4,007,184

Collatz Trajectory (141 steps to reach 1)

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

4,007,184 2,003,592 1,001,796 500,898 250,449 751,348 375,674 187,837 563,512 281,756 140,878 70,439 211,318 105,659 316,978 158,489 475,468 237,734 118,867 356,602 178,301 534,904 267,452 133,726 66,863 200,590 100,295 300,886 150,443 451,330 225,665 676,996 338,498 169,249 507,748 253,874 126,937 380,812 190,406 95,203 285,610 142,805 428,416 214,208 107,104 53,552 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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