λ
Integer Codex

9,247,228

22 × 532 × 823
Deficient Even Composite

For 9,247,228, the 18 positive divisors have a total of 16,513,784. Removing 9,247,228 leaves 7,266,556, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 53^2 × 823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 16,513,784
Proper Divisor Sum 7,266,556
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9247211 ← → #9247283

Radix Representation

Decimal 9247228
Binary 100011010001100111111100 (24 bits)
Octal 0o43214774
Hexadecimal 0x8D19FC

Divisor Catalog (18)

1 2 4 53 106 212 823 1,646 2,809 3,292 5,618 11,236 43,619 87,238 174,476 2,311,807 4,623,614 9,247,228

Collatz Trajectory (163 steps to reach 1)

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

9,247,228 4,623,614 2,311,807 6,935,422 3,467,711 10,403,134 5,201,567 15,604,702 7,802,351 23,407,054 11,703,527 35,110,582 17,555,291 52,665,874 26,332,937 78,998,812 39,499,406 19,749,703 59,249,110 29,624,555 88,873,666 44,436,833 133,310,500 66,655,250 33,327,625 99,982,876 49,991,438 24,995,719 74,987,158 37,493,579 112,480,738 56,240,369 168,721,108 84,360,554 42,180,277 126,540,832 63,270,416 31,635,208 15,817,604 7,908,802 3,954,401 11,863,204 5,931,602 2,965,801 8,897,404 4,448,702 2,224,351 6,673,054 3,336,527 10,009,582 5,004,791 15,014,374 7,507,187 22,521,562 11,260,781 33,782,344 16,891,172 8,445,586 4,222,793 12,668,380

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