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Atlas › Integer Profiles › Node 9,609,528

9,609,528

23 × 3 × 367 × 1091
Abundant Even Composite

9,609,528 factors as 2^3 × 3 × 367 × 1091. Its 32 positive divisors give a proper-divisor sum of 14,501,832, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 367 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,111,360
Proper Divisor Sum 14,501,832
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9609517 ← → #9609533

Radix Representation

Decimal 9609528
Binary 100100101010000100111000 (24 bits)
Octal 0o44520470
Hexadecimal 0x92A138

Divisor Catalog (32)

1 2 3 4 6 8 12 24 367 734 1,091 1,101 1,468 2,182 2,202 2,936 3,273 4,364 4,404 6,546 8,728 8,808 13,092 26,184 400,397 800,794 1,201,191 1,601,588 2,402,382 3,203,176 4,804,764 9,609,528

Collatz Trajectory (119 steps to reach 1)

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

9,609,528 4,804,764 2,402,382 1,201,191 3,603,574 1,801,787 5,405,362 2,702,681 8,108,044 4,054,022 2,027,011 6,081,034 3,040,517 9,121,552 4,560,776 2,280,388 1,140,194 570,097 1,710,292 855,146 427,573 1,282,720 641,360 320,680 160,340 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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