9,009,518

2 × 7 × 397 × 1621

For 9,009,518, the 16 positive divisors have a total of 15,493,344. Removing 9,009,518 leaves 6,483,826, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 397 × 1621

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,493,344

Proper Divisor Sum 6,483,826

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9009509 ← → #9009521

Radix Representation

Decimal	9009518
Binary	100010010111100101101110 (24 bits)
Octal	0o42274556
Hexadecimal	0x89796E

Divisor Catalog (16)

1 2 7 14 397 794 1,621 2,779 3,242 5,558 11,347 22,694 643,537 1,287,074 4,504,759 9,009,518

Collatz Trajectory (111 steps to reach 1)

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

9,009,518 4,504,759 13,514,278 6,757,139 20,271,418 10,135,709 30,407,128 15,203,564 7,601,782 3,800,891 11,402,674 5,701,337 17,104,012 8,552,006 4,276,003 12,828,010 6,414,005 19,242,016 9,621,008 4,810,504 2,405,252 1,202,626 601,313 1,803,940 901,970 450,985 1,352,956 676,478 338,239 1,014,718 507,359 1,522,078 761,039 2,283,118 1,141,559 3,424,678 1,712,339 5,137,018 2,568,509 7,705,528 3,852,764 1,926,382 963,191 2,889,574 1,444,787 4,334,362 2,167,181 6,501,544 3,250,772 1,625,386 812,693 2,438,080 1,219,040 609,520 304,760 152,380 76,190 38,095 114,286 57,143

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