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Atlas › Integer Profiles › Node 11,057,742

11,057,742

2 × 33 × 193 × 1061
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 193 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,723,360
Proper Divisor Sum 13,665,618
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11057713 ← → #11057743

Radix Representation

Decimal 11057742
Binary 101010001011101001001110 (24 bits)
Octal 0o52135116
Hexadecimal 0xA8BA4E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 193 386 579 1,061 1,158 1,737 2,122 3,183 3,474 5,211 6,366 9,549 10,422 19,098 28,647 57,294 204,773 409,546 614,319 1,228,638 1,842,957 3,685,914 5,528,871 11,057,742

Collatz Trajectory (339 steps to reach 1)

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

11,057,742 5,528,871 16,586,614 8,293,307 24,879,922 12,439,961 37,319,884 18,659,942 9,329,971 27,989,914 13,994,957 41,984,872 20,992,436 10,496,218 5,248,109 15,744,328 7,872,164 3,936,082 1,968,041 5,904,124 2,952,062 1,476,031 4,428,094 2,214,047 6,642,142 3,321,071 9,963,214 4,981,607 14,944,822 7,472,411 22,417,234 11,208,617 33,625,852 16,812,926 8,406,463 25,219,390 12,609,695 37,829,086 18,914,543 56,743,630 28,371,815 85,115,446 42,557,723 127,673,170 63,836,585 191,509,756 95,754,878 47,877,439 143,632,318 71,816,159 215,448,478 107,724,239 323,172,718 161,586,359 484,759,078 242,379,539 727,138,618 363,569,309 1,090,707,928 545,353,964

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