9,609,537

3 × 7² × 65371

9,609,537 factors as 3 × 7^2 × 65371. Its 12 positive divisors give a proper-divisor sum of 5,295,279, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 65371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,904,816

Proper Divisor Sum 5,295,279

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9609533 ← → #9609547

Radix Representation

Decimal	9609537
Binary	100100101010000101000001 (24 bits)
Octal	0o44520501
Hexadecimal	0x92A141

Divisor Catalog (12)

1 3 7 21 49 147 65,371 196,113 457,597 1,372,791 3,203,179 9,609,537

Collatz Trajectory (150 steps to reach 1)

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

9,609,537 28,828,612 14,414,306 7,207,153 21,621,460 10,810,730 5,405,365 16,216,096 8,108,048 4,054,024 2,027,012 1,013,506 506,753 1,520,260 760,130 380,065 1,140,196 570,098 285,049 855,148 427,574 213,787 641,362 320,681 962,044 481,022 240,511 721,534 360,767 1,082,302 541,151 1,623,454 811,727 2,435,182 1,217,591 3,652,774 1,826,387 5,479,162 2,739,581 8,218,744 4,109,372 2,054,686 1,027,343 3,082,030 1,541,015 4,623,046 2,311,523 6,934,570 3,467,285 10,401,856 5,200,928 2,600,464 1,300,232 650,116 325,058 162,529 487,588 243,794 121,897 365,692

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