9,222,003

3² × 7 × 146381

9,222,003 factors as 3^2 × 7 × 146381. Its 12 positive divisors give a proper-divisor sum of 6,001,725, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 146381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,223,728

Proper Divisor Sum 6,001,725

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #9222001 ← → #9222013

Radix Representation

Decimal	9222003
Binary	100011001011011101110011 (24 bits)
Octal	0o43133563
Hexadecimal	0x8CB773

Divisor Catalog (12)

1 3 7 9 21 63 146,381 439,143 1,024,667 1,317,429 3,074,001 9,222,003

Collatz Trajectory (225 steps to reach 1)

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

9,222,003 27,666,010 13,833,005 41,499,016 20,749,508 10,374,754 5,187,377 15,562,132 7,781,066 3,890,533 11,671,600 5,835,800 2,917,900 1,458,950 729,475 2,188,426 1,094,213 3,282,640 1,641,320 820,660 410,330 205,165 615,496 307,748 153,874 76,937 230,812 115,406 57,703 173,110 86,555 259,666 129,833 389,500 194,750 97,375 292,126 146,063 438,190 219,095 657,286 328,643 985,930 492,965 1,478,896 739,448 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492

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