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Atlas › Integer Profiles › Node 9,609,714

9,609,714

2 × 32 × 37 × 47 × 307
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 47 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,909,888
Proper Divisor Sum 12,300,174
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9609713 ← → #9609749

Radix Representation

Decimal 9609714
Binary 100100101010000111110010 (24 bits)
Octal 0o44520762
Hexadecimal 0x92A1F2

Divisor Catalog (48)

1 2 3 6 9 18 37 47 74 94 111 141 222 282 307 333 423 614 666 846 921 1,739 1,842 2,763 3,478 5,217 5,526 10,434 11,359 14,429 15,651 22,718 28,858 31,302 34,077 43,287 68,154 86,574 102,231 129,861 204,462 259,722 533,873 1,067,746 1,601,619 3,203,238 4,804,857 9,609,714

Collatz Trajectory (150 steps to reach 1)

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

9,609,714 4,804,857 14,414,572 7,207,286 3,603,643 10,810,930 5,405,465 16,216,396 8,108,198 4,054,099 12,162,298 6,081,149 18,243,448 9,121,724 4,560,862 2,280,431 6,841,294 3,420,647 10,261,942 5,130,971 15,392,914 7,696,457 23,089,372 11,544,686 5,772,343 17,317,030 8,658,515 25,975,546 12,987,773 38,963,320 19,481,660 9,740,830 4,870,415 14,611,246 7,305,623 21,916,870 10,958,435 32,875,306 16,437,653 49,312,960 24,656,480 12,328,240 6,164,120 3,082,060 1,541,030 770,515 2,311,546 1,155,773 3,467,320 1,733,660 866,830 433,415 1,300,246 650,123 1,950,370 975,185 2,925,556 1,462,778 731,389 2,194,168

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