8,809,009

11 × 17³ × 163

For 8,809,009, the 16 positive divisors have a total of 10,272,960. Removing 8,809,009 leaves 1,463,951, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 17^3 × 163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,272,960

Proper Divisor Sum 1,463,951

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8809001 ← → #8809013

Radix Representation

Decimal	8809009
Binary	100001100110101000110001 (24 bits)
Octal	0o41465061
Hexadecimal	0x866A31

Divisor Catalog (16)

1 11 17 163 187 289 1,793 2,771 3,179 4,913 30,481 47,107 54,043 518,177 800,819 8,809,009

Collatz Trajectory (349 steps to reach 1)

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

8,809,009 26,427,028 13,213,514 6,606,757 19,820,272 9,910,136 4,955,068 2,477,534 1,238,767 3,716,302 1,858,151 5,574,454 2,787,227 8,361,682 4,180,841 12,542,524 6,271,262 3,135,631 9,406,894 4,703,447 14,110,342 7,055,171 21,165,514 10,582,757 31,748,272 15,874,136 7,937,068 3,968,534 1,984,267 5,952,802 2,976,401 8,929,204 4,464,602 2,232,301 6,696,904 3,348,452 1,674,226 837,113 2,511,340 1,255,670 627,835 1,883,506 941,753 2,825,260 1,412,630 706,315 2,118,946 1,059,473 3,178,420 1,589,210 794,605 2,383,816 1,191,908 595,954 297,977 893,932 446,966 223,483 670,450 335,225

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