2,007,159

3 × 7 × 11 × 8689

2,007,159 has the prime decomposition 3 × 7 × 11 × 8689. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 8689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,336,960

Proper Divisor Sum 1,329,801

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2007151 ← → #2007193

Radix Representation

Decimal	2007159
Binary	111101010000001110111 (21 bits)
Octal	0o7520167
Hexadecimal	0x1EA077

Divisor Catalog (16)

1 3 7 11 21 33 77 231 8,689 26,067 60,823 95,579 182,469 286,737 669,053 2,007,159

Collatz Trajectory (135 steps to reach 1)

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

2,007,159 6,021,478 3,010,739 9,032,218 4,516,109 13,548,328 6,774,164 3,387,082 1,693,541 5,080,624 2,540,312 1,270,156 635,078 317,539 952,618 476,309 1,428,928 714,464 357,232 178,616 89,308 44,654 22,327 66,982 33,491 100,474 50,237 150,712 75,356 37,678 18,839 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126

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