9,256,221

3³ × 13 × 26371

For 9,256,221, the 16 positive divisors have a total of 14,768,320. Removing 9,256,221 leaves 5,512,099, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 13 × 26371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,768,320

Proper Divisor Sum 5,512,099

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9256217 ← → #9256229

Radix Representation

Decimal	9256221
Binary	100011010011110100011101 (24 bits)
Octal	0o43236435
Hexadecimal	0x8D3D1D

Divisor Catalog (16)

1 3 9 13 27 39 117 351 26,371 79,113 237,339 342,823 712,017 1,028,469 3,085,407 9,256,221

Collatz Trajectory (256 steps to reach 1)

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

9,256,221 27,768,664 13,884,332 6,942,166 3,471,083 10,413,250 5,206,625 15,619,876 7,809,938 3,904,969 11,714,908 5,857,454 2,928,727 8,786,182 4,393,091 13,179,274 6,589,637 19,768,912 9,884,456 4,942,228 2,471,114 1,235,557 3,706,672 1,853,336 926,668 463,334 231,667 695,002 347,501 1,042,504 521,252 260,626 130,313 390,940 195,470 97,735 293,206 146,603 439,810 219,905 659,716 329,858 164,929 494,788 247,394 123,697 371,092 185,546 92,773 278,320 139,160 69,580 34,790 17,395 52,186 26,093 78,280 39,140 19,570 9,785

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