3,991,006

2 × 23 × 53 × 1637

3,991,006 factors as 2 × 23 × 53 × 1637. Its 16 positive divisors give a proper-divisor sum of 2,377,538, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 23 × 53 × 1637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,368,544

Proper Divisor Sum 2,377,538

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3990997 ← → #3991019

Radix Representation

Decimal	3991006
Binary	1111001110010111011110 (22 bits)
Octal	0o17162736
Hexadecimal	0x3CE5DE

Divisor Catalog (16)

1 2 23 46 53 106 1,219 1,637 2,438 3,274 37,651 75,302 86,761 173,522 1,995,503 3,991,006

Collatz Trajectory (115 steps to reach 1)

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

3,991,006 1,995,503 5,986,510 2,993,255 8,979,766 4,489,883 13,469,650 6,734,825 20,204,476 10,102,238 5,051,119 15,153,358 7,576,679 22,730,038 11,365,019 34,095,058 17,047,529 51,142,588 25,571,294 12,785,647 38,356,942 19,178,471 57,535,414 28,767,707 86,303,122 43,151,561 129,454,684 64,727,342 32,363,671 97,091,014 48,545,507 145,636,522 72,818,261 218,454,784 109,227,392 54,613,696 27,306,848 13,653,424 6,826,712 3,413,356 1,706,678 853,339 2,560,018 1,280,009 3,840,028 1,920,014 960,007 2,880,022 1,440,011 4,320,034 2,160,017 6,480,052 3,240,026 1,620,013 4,860,040 2,430,020 1,215,010 607,505 1,822,516 911,258

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