λ
Sigma Notebook

9,569,406

2 × 3 × 72 × 112 × 269
Abundant Even Composite

9,569,406 is even and not a perfect square. Its factorization is 2 × 3 × 7^2 × 11^2 × 269 and its 72 divisors sum to 24,562,440.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 11^2 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,562,440
Proper Divisor Sum 14,993,034
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9569401 ← → #9569411

Radix Representation

Decimal 9569406
Binary 100100100000010001111110 (24 bits)
Octal 0o44402176
Hexadecimal 0x92047E

Divisor Catalog (60 of 72)

1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 269 294 363 462 538 539 726 807 847 1,078 1,614 1,617 1,694 1,883 2,541 2,959 3,234 3,766 5,082 5,649 5,918 5,929 8,877 11,298 11,858 13,181 17,754 17,787 20,713 26,362 32,549 35,574 39,543 41,426 62,139 65,098 79,086 97,647 124,278 144,991

Collatz Trajectory (132 steps to reach 1)

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

9,569,406 4,784,703 14,354,110 7,177,055 21,531,166 10,765,583 32,296,750 16,148,375 48,445,126 24,222,563 72,667,690 36,333,845 109,001,536 54,500,768 27,250,384 13,625,192 6,812,596 3,406,298 1,703,149 5,109,448 2,554,724 1,277,362 638,681 1,916,044 958,022 479,011 1,437,034 718,517 2,155,552 1,077,776 538,888 269,444 134,722 67,361 202,084 101,042 50,521 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118

More profiles

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