λ
Integer Codex

8,840,321

7 × 1262903
Deficient Odd Composite

For 8,840,321, the 4 positive divisors have a total of 10,103,232. Removing 8,840,321 leaves 1,262,911, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 1262903
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,103,232
Proper Divisor Sum 1,262,911
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8840317 ← → #8840333

Radix Representation

Decimal 8840321
Binary 100001101110010010000001 (24 bits)
Octal 0o41562201
Hexadecimal 0x86E481

Divisor Catalog (4)

1 7 1,262,903 8,840,321

Collatz Trajectory (243 steps to reach 1)

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

8,840,321 26,520,964 13,260,482 6,630,241 19,890,724 9,945,362 4,972,681 14,918,044 7,459,022 3,729,511 11,188,534 5,594,267 16,782,802 8,391,401 25,174,204 12,587,102 6,293,551 18,880,654 9,440,327 28,320,982 14,160,491 42,481,474 21,240,737 63,722,212 31,861,106 15,930,553 47,791,660 23,895,830 11,947,915 35,843,746 17,921,873 53,765,620 26,882,810 13,441,405 40,324,216 20,162,108 10,081,054 5,040,527 15,121,582 7,560,791 22,682,374 11,341,187 34,023,562 17,011,781 51,035,344 25,517,672 12,758,836 6,379,418 3,189,709 9,569,128 4,784,564 2,392,282 1,196,141 3,588,424 1,794,212 897,106 448,553 1,345,660 672,830 336,415

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