9,509,733

3² × 179 × 5903

9,509,733 factors as 3^2 × 179 × 5903. Its 12 positive divisors give a proper-divisor sum of 4,305,627, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^2 × 179 × 5903

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,815,360

Proper Divisor Sum 4,305,627

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9509729 ← → #9509761

Radix Representation

Decimal	9509733
Binary	100100010001101101100101 (24 bits)
Octal	0o44215545
Hexadecimal	0x911B65

Divisor Catalog (12)

1 3 9 179 537 1,611 5,903 17,709 53,127 1,056,637 3,169,911 9,509,733

Collatz Trajectory (163 steps to reach 1)

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

9,509,733 28,529,200 14,264,600 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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