9,509,732

2² × 17 × 107 × 1307

9,509,732 factors as 2^2 × 17 × 107 × 1307. Its 24 positive divisors give a proper-divisor sum of 8,289,532, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 107 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,799,264

Proper Divisor Sum 8,289,532

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9509729 ← → #9509761

Radix Representation

Decimal	9509732
Binary	100100010001101101100100 (24 bits)
Octal	0o44215544
Hexadecimal	0x911B64

Divisor Catalog (24)

Collatz Trajectory (163 steps to reach 1)

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

9,509,732 4,754,866 2,377,433 7,132,300 3,566,150 1,783,075 5,349,226 2,674,613 8,023,840 4,011,920 2,005,960 1,002,980 501,490 250,745 752,236 376,118 188,059 564,178 282,089 846,268 423,134 211,567 634,702 317,351 952,054 476,027 1,428,082 714,041 2,142,124 1,071,062 535,531 1,606,594 803,297 2,409,892 1,204,946 602,473 1,807,420 903,710 451,855 1,355,566 677,783 2,033,350 1,016,675 3,050,026 1,525,013 4,575,040 2,287,520 1,143,760 571,880 285,940 142,970 71,485 214,456 107,228 53,614 26,807 80,422 40,211 120,634 60,317

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