2,009,482

2 × 31 × 32411

For 2,009,482, the 8 positive divisors have a total of 3,111,552. Removing 2,009,482 leaves 1,102,070, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 31 × 32411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,111,552

Proper Divisor Sum 1,102,070

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2009467 ← → #2009489

Radix Representation

Decimal	2009482
Binary	111101010100110001010 (21 bits)
Octal	0o7524612
Hexadecimal	0x1EA98A

Divisor Catalog (8)

1 2 31 62 32,411 64,822 1,004,741 2,009,482

Collatz Trajectory (135 steps to reach 1)

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

2,009,482 1,004,741 3,014,224 1,507,112 753,556 376,778 188,389 565,168 282,584 141,292 70,646 35,323 105,970 52,985 158,956 79,478 39,739 119,218 59,609 178,828 89,414 44,707 134,122 67,061 201,184 100,592 50,296 25,148 12,574 6,287 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126

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