2,007,529

31² × 2089

For 2,007,529, the 6 positive divisors have a total of 2,075,370. Removing 2,007,529 leaves 67,841, which gives the deficient classification.

Prime Factor Structure

Factorization String 31^2 × 2089

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,075,370

Proper Divisor Sum 67,841

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2007527 ← → #2007539

Radix Representation

Decimal	2007529
Binary	111101010000111101001 (21 bits)
Octal	0o7520751
Hexadecimal	0x1EA1E9

Divisor Catalog (6)

1 31 961 2,089 64,759 2,007,529

Collatz Trajectory (65 steps to reach 1)

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

2,007,529 6,022,588 3,011,294 1,505,647 4,516,942 2,258,471 6,775,414 3,387,707 10,163,122 5,081,561 15,244,684 7,622,342 3,811,171 11,433,514 5,716,757 17,150,272 8,575,136 4,287,568 2,143,784 1,071,892 535,946 267,973 803,920 401,960 200,980 100,490 50,245 150,736 75,368 37,684 18,842 9,421 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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