2,001,108

2² × 3 × 37 × 4507

For 2,001,108, the 24 positive divisors have a total of 4,796,512. Removing 2,001,108 leaves 2,795,404, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 4507

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,796,512

Proper Divisor Sum 2,795,404

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2001101 ← → #2001127

Radix Representation

Decimal	2001108
Binary	111101000100011010100 (21 bits)
Octal	0o7504324
Hexadecimal	0x1E88D4

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 4,507 9,014 13,521 18,028 27,042 54,084 166,759 333,518 500,277 667,036 1,000,554 2,001,108

Collatz Trajectory (47 steps to reach 1)

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

2,001,108 1,000,554 500,277 1,500,832 750,416 375,208 187,604 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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