λ
Integer Codex

2,001,708

22 × 32 × 55603
Abundant Even Composite

For 2,001,708, the 18 positive divisors have a total of 5,059,964. Removing 2,001,708 leaves 3,058,256, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 55603
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,059,964
Proper Divisor Sum 3,058,256
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2001697 ← → #2001709

Radix Representation

Decimal 2001708
Binary 111101000101100101100 (21 bits)
Octal 0o7505454
Hexadecimal 0x1E8B2C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 55,603 111,206 166,809 222,412 333,618 500,427 667,236 1,000,854 2,001,708

Collatz Trajectory (140 steps to reach 1)

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

2,001,708 1,000,854 500,427 1,501,282 750,641 2,251,924 1,125,962 562,981 1,688,944 844,472 422,236 211,118 105,559 316,678 158,339 475,018 237,509 712,528 356,264 178,132 89,066 44,533 133,600 66,800 33,400 16,700 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 2,119

More profiles

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