λ
Integer Codex

9,790,226

2 × 23 × 29 × 41 × 179
Deficient Even Composite

For 9,790,226, the 32 positive divisors have a total of 16,329,600. Removing 9,790,226 leaves 6,539,374, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 41 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,329,600
Proper Divisor Sum 6,539,374
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9790219 ← → #9790229

Radix Representation

Decimal 9790226
Binary 100101010110001100010010 (24 bits)
Octal 0o45261422
Hexadecimal 0x956312

Divisor Catalog (32)

1 2 23 29 41 46 58 82 179 358 667 943 1,189 1,334 1,886 2,378 4,117 5,191 7,339 8,234 10,382 14,678 27,347 54,694 119,393 168,797 212,831 238,786 337,594 425,662 4,895,113 9,790,226

Collatz Trajectory (269 steps to reach 1)

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

9,790,226 4,895,113 14,685,340 7,342,670 3,671,335 11,014,006 5,507,003 16,521,010 8,260,505 24,781,516 12,390,758 6,195,379 18,586,138 9,293,069 27,879,208 13,939,604 6,969,802 3,484,901 10,454,704 5,227,352 2,613,676 1,306,838 653,419 1,960,258 980,129 2,940,388 1,470,194 735,097 2,205,292 1,102,646 551,323 1,653,970 826,985 2,480,956 1,240,478 620,239 1,860,718 930,359 2,791,078 1,395,539 4,186,618 2,093,309 6,279,928 3,139,964 1,569,982 784,991 2,354,974 1,177,487 3,532,462 1,766,231 5,298,694 2,649,347 7,948,042 3,974,021 11,922,064 5,961,032 2,980,516 1,490,258 745,129 2,235,388

More profiles

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