9,752,331

3 × 353 × 9209

9,752,331 has digital root 3. The neighboring primes are 9752317 and 9752333; its proper-divisor sum differs from the starting integer by -6,463,302.

Prime Factor Structure

Factorization String 3 × 353 × 9209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,041,360

Proper Divisor Sum 3,289,029

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9752317 ← → #9752333

Radix Representation

Decimal	9752331
Binary	100101001100111100001011 (24 bits)
Octal	0o45147413
Hexadecimal	0x94CF0B

Divisor Catalog (8)

1 3 353 1,059 9,209 27,627 3,250,777 9,752,331

Collatz Trajectory (114 steps to reach 1)

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

9,752,331 29,256,994 14,628,497 43,885,492 21,942,746 10,971,373 32,914,120 16,457,060 8,228,530 4,114,265 12,342,796 6,171,398 3,085,699 9,257,098 4,628,549 13,885,648 6,942,824 3,471,412 1,735,706 867,853 2,603,560 1,301,780 650,890 325,445 976,336 488,168 244,084 122,042 61,021 183,064 91,532 45,766 22,883 68,650 34,325 102,976 51,488 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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