2,002,189

7² × 29 × 1409

2,002,189 factors as 7^2 × 29 × 1409. Its 12 positive divisors give a proper-divisor sum of 408,911, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 7^2 × 29 × 1409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,411,100

Proper Divisor Sum 408,911

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2002159 ← → #2002199

Radix Representation

Decimal	2002189
Binary	111101000110100001101 (21 bits)
Octal	0o7506415
Hexadecimal	0x1E8D0D

Divisor Catalog (12)

1 7 29 49 203 1,409 1,421 9,863 40,861 69,041 286,027 2,002,189

Collatz Trajectory (197 steps to reach 1)

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

2,002,189 6,006,568 3,003,284 1,501,642 750,821 2,252,464 1,126,232 563,116 281,558 140,779 422,338 211,169 633,508 316,754 158,377 475,132 237,566 118,783 356,350 178,175 534,526 267,263 801,790 400,895 1,202,686 601,343 1,804,030 902,015 2,706,046 1,353,023 4,059,070 2,029,535 6,088,606 3,044,303 9,132,910 4,566,455 13,699,366 6,849,683 20,549,050 10,274,525 30,823,576 15,411,788 7,705,894 3,852,947 11,558,842 5,779,421 17,338,264 8,669,132 4,334,566 2,167,283 6,501,850 3,250,925 9,752,776 4,876,388 2,438,194 1,219,097 3,657,292 1,828,646 914,323 2,742,970

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