3,003,927

3 × 163 × 6143

3,003,927 has digital root 6. The neighboring primes are 3003899 and 3003941; its proper-divisor sum differs from the starting integer by -1,977,390.

Prime Factor Structure

Factorization String 3 × 163 × 6143

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,030,464

Proper Divisor Sum 1,026,537

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3003899 ← → #3003941

Radix Representation

Decimal	3003927
Binary	1011011101011000010111 (22 bits)
Octal	0o13353027
Hexadecimal	0x2DD617

Divisor Catalog (8)

1 3 163 489 6,143 18,429 1,001,309 3,003,927

Collatz Trajectory (94 steps to reach 1)

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

3,003,927 9,011,782 4,505,891 13,517,674 6,758,837 20,276,512 10,138,256 5,069,128 2,534,564 1,267,282 633,641 1,900,924 950,462 475,231 1,425,694 712,847 2,138,542 1,069,271 3,207,814 1,603,907 4,811,722 2,405,861 7,217,584 3,608,792 1,804,396 902,198 451,099 1,353,298 676,649 2,029,948 1,014,974 507,487 1,522,462 761,231 2,283,694 1,141,847 3,425,542 1,712,771 5,138,314 2,569,157 7,707,472 3,853,736 1,926,868 963,434 481,717 1,445,152 722,576 361,288 180,644 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317

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