4,001,739

3 × 7 × 29 × 6571

For 4,001,739, the 16 positive divisors have a total of 6,309,120. Removing 4,001,739 leaves 2,307,381, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 6571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,309,120

Proper Divisor Sum 2,307,381

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4001719 ← → #4001741

Radix Representation

Decimal	4001739
Binary	1111010000111111001011 (22 bits)
Octal	0o17207713
Hexadecimal	0x3D0FCB

Divisor Catalog (16)

1 3 7 21 29 87 203 609 6,571 19,713 45,997 137,991 190,559 571,677 1,333,913 4,001,739

Collatz Trajectory (141 steps to reach 1)

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

4,001,739 12,005,218 6,002,609 18,007,828 9,003,914 4,501,957 13,505,872 6,752,936 3,376,468 1,688,234 844,117 2,532,352 1,266,176 633,088 316,544 158,272 79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 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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