9,027,231

3 × 31 × 113 × 859

For 9,027,231, the 16 positive divisors have a total of 12,549,120. Removing 9,027,231 leaves 3,521,889, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 31 × 113 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,549,120

Proper Divisor Sum 3,521,889

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9027217 ← → #9027259

Radix Representation

Decimal	9027231
Binary	100010011011111010011111 (24 bits)
Octal	0o42337237
Hexadecimal	0x89BE9F

Divisor Catalog (16)

1 3 31 93 113 339 859 2,577 3,503 10,509 26,629 79,887 97,067 291,201 3,009,077 9,027,231

Collatz Trajectory (163 steps to reach 1)

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

9,027,231 27,081,694 13,540,847 40,622,542 20,311,271 60,933,814 30,466,907 91,400,722 45,700,361 137,101,084 68,550,542 34,275,271 102,825,814 51,412,907 154,238,722 77,119,361 231,358,084 115,679,042 57,839,521 173,518,564 86,759,282 43,379,641 130,138,924 65,069,462 32,534,731 97,604,194 48,802,097 146,406,292 73,203,146 36,601,573 109,804,720 54,902,360 27,451,180 13,725,590 6,862,795 20,588,386 10,294,193 30,882,580 15,441,290 7,720,645 23,161,936 11,580,968 5,790,484 2,895,242 1,447,621 4,342,864 2,171,432 1,085,716 542,858 271,429 814,288 407,144 203,572 101,786 50,893 152,680 76,340 38,170 19,085 57,256

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