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Atlas › Integer Profiles › Node 9,609,136

9,609,136

24 × 19 × 73 × 433
Abundant Even Composite

9,609,136 factors as 2^4 × 19 × 73 × 433. Its 40 positive divisors give a proper-divisor sum of 10,302,784, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 73 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,911,920
Proper Divisor Sum 10,302,784
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9609133 ← → #9609139

Radix Representation

Decimal 9609136
Binary 100100101001111110110000 (24 bits)
Octal 0o44517660
Hexadecimal 0x929FB0

Divisor Catalog (40)

1 2 4 8 16 19 38 73 76 146 152 292 304 433 584 866 1,168 1,387 1,732 2,774 3,464 5,548 6,928 8,227 11,096 16,454 22,192 31,609 32,908 63,218 65,816 126,436 131,632 252,872 505,744 600,571 1,201,142 2,402,284 4,804,568 9,609,136

Collatz Trajectory (93 steps to reach 1)

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

9,609,136 4,804,568 2,402,284 1,201,142 600,571 1,801,714 900,857 2,702,572 1,351,286 675,643 2,026,930 1,013,465 3,040,396 1,520,198 760,099 2,280,298 1,140,149 3,420,448 1,710,224 855,112 427,556 213,778 106,889 320,668 160,334 80,167 240,502 120,251 360,754 180,377 541,132 270,566 135,283 405,850 202,925 608,776 304,388 152,194 76,097 228,292 114,146 57,073 171,220 85,610 42,805 128,416 64,208 32,104 16,052 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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