9,867,735

3² × 5 × 17 × 12899

9,867,735 factors as 3^2 × 5 × 17 × 12899. Its 24 positive divisors give a proper-divisor sum of 8,243,865, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 12899

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,111,600

Proper Divisor Sum 8,243,865

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9867731 ← → #9867761

Radix Representation

Decimal	9867735
Binary	100101101001000111010111 (24 bits)
Octal	0o45510727
Hexadecimal	0x9691D7

Divisor Catalog (24)

Collatz Trajectory (88 steps to reach 1)

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

9,867,735 29,603,206 14,801,603 44,404,810 22,202,405 66,607,216 33,303,608 16,651,804 8,325,902 4,162,951 12,488,854 6,244,427 18,733,282 9,366,641 28,099,924 14,049,962 7,024,981 21,074,944 10,537,472 5,268,736 2,634,368 1,317,184 658,592 329,296 164,648 82,324 41,162 20,581 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741

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