2,003,052

2² × 3 × 71 × 2351

2,003,052 has the prime decomposition 2^2 × 3 × 71 × 2351. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 2351

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,741,632

Proper Divisor Sum 2,738,580

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2003051 ← → #2003081

Radix Representation

Decimal	2003052
Binary	111101001000001101100 (21 bits)
Octal	0o7510154
Hexadecimal	0x1E906C

Divisor Catalog (24)

1 2 3 4 6 12 71 142 213 284 426 852 2,351 4,702 7,053 9,404 14,106 28,212 166,921 333,842 500,763 667,684 1,001,526 2,003,052

Collatz Trajectory (259 steps to reach 1)

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

2,003,052 1,001,526 500,763 1,502,290 751,145 2,253,436 1,126,718 563,359 1,690,078 845,039 2,535,118 1,267,559 3,802,678 1,901,339 5,704,018 2,852,009 8,556,028 4,278,014 2,139,007 6,417,022 3,208,511 9,625,534 4,812,767 14,438,302 7,219,151 21,657,454 10,828,727 32,486,182 16,243,091 48,729,274 24,364,637 73,093,912 36,546,956 18,273,478 9,136,739 27,410,218 13,705,109 41,115,328 20,557,664 10,278,832 5,139,416 2,569,708 1,284,854 642,427 1,927,282 963,641 2,890,924 1,445,462 722,731 2,168,194 1,084,097 3,252,292 1,626,146 813,073 2,439,220 1,219,610 609,805 1,829,416 914,708 457,354

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