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Atlas › Integer Profiles › Node 29,554,668

29,554,668

22 × 32 × 11 × 13 × 5741
Abundant Even Composite

29,554,668 factors as 2^2 × 3^2 × 11 × 13 × 5741. Its 72 positive divisors give a proper-divisor sum of 58,229,028, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13 × 5741
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 87,783,696
Proper Divisor Sum 58,229,028
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #29554667 ← → #29554691

Radix Representation

Decimal 29554668
Binary 1110000101111011111101100 (25 bits)
Octal 0o160573754
Hexadecimal 0x1C2F7EC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1,287 1,716 2,574 5,148 5,741 11,482 17,223 22,964 34,446 51,669 63,151 68,892 74,633 103,338 126,302 149,266 189,453 206,676 223,899 252,604 298,532 378,906 447,798 568,359 671,697 757,812 820,963 895,596

Collatz Trajectory (175 steps to reach 1)

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

29,554,668 14,777,334 7,388,667 22,166,002 11,083,001 33,249,004 16,624,502 8,312,251 24,936,754 12,468,377 37,405,132 18,702,566 9,351,283 28,053,850 14,026,925 42,080,776 21,040,388 10,520,194 5,260,097 15,780,292 7,890,146 3,945,073 11,835,220 5,917,610 2,958,805 8,876,416 4,438,208 2,219,104 1,109,552 554,776 277,388 138,694 69,347 208,042 104,021 312,064 156,032 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145

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