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Atlas › Integer Profiles › Node 8,522,745

8,522,745

3 × 5 × 7 × 11 × 47 × 157
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 47 × 157
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,473,536
Proper Divisor Sum 8,950,791
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8522743 ← → #8522749

Radix Representation

Decimal 8522745
Binary 100000100000101111111001 (24 bits)
Octal 0o40405771
Hexadecimal 0x820BF9

Divisor Catalog (60 of 64)

1 3 5 7 11 15 21 33 35 47 55 77 105 141 157 165 231 235 329 385 471 517 705 785 987 1,099 1,155 1,551 1,645 1,727 2,355 2,585 3,297 3,619 4,935 5,181 5,495 7,379 7,755 8,635 10,857 12,089 16,485 18,095 22,137 25,905 36,267 36,895 51,653 54,285 60,445 81,169 110,685 154,959 181,335 243,507 258,265 405,845 568,183 774,795

Collatz Trajectory (230 steps to reach 1)

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

8,522,745 25,568,236 12,784,118 6,392,059 19,176,178 9,588,089 28,764,268 14,382,134 7,191,067 21,573,202 10,786,601 32,359,804 16,179,902 8,089,951 24,269,854 12,134,927 36,404,782 18,202,391 54,607,174 27,303,587 81,910,762 40,955,381 122,866,144 61,433,072 30,716,536 15,358,268 7,679,134 3,839,567 11,518,702 5,759,351 17,278,054 8,639,027 25,917,082 12,958,541 38,875,624 19,437,812 9,718,906 4,859,453 14,578,360 7,289,180 3,644,590 1,822,295 5,466,886 2,733,443 8,200,330 4,100,165 12,300,496 6,150,248 3,075,124 1,537,562 768,781 2,306,344 1,153,172 576,586 288,293 864,880 432,440 216,220 108,110 54,055

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