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Atlas › Integer Profiles › Node 18,265,156

18,265,156

22 × 7 × 13 × 192 × 139
Abundant Even Composite

18,265,156 factors as 2^2 × 7 × 13 × 19^2 × 139. Its 72 positive divisors give a proper-divisor sum of 23,553,404, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 19^2 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 41,818,560
Proper Divisor Sum 23,553,404
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18265141 ← → #18265183

Radix Representation

Decimal 18265156
Binary 1000101101011010001000100 (25 bits)
Octal 0o105532104
Hexadecimal 0x116B444

Divisor Catalog (60 of 72)

1 2 4 7 13 14 19 26 28 38 52 76 91 133 139 182 247 266 278 361 364 494 532 556 722 973 988 1,444 1,729 1,807 1,946 2,527 2,641 3,458 3,614 3,892 4,693 5,054 5,282 6,916 7,228 9,386 10,108 10,564 12,649 18,487 18,772 25,298 32,851 34,333 36,974 50,179 50,596 65,702 68,666 73,948 100,358 131,404 137,332 200,716

Collatz Trajectory (107 steps to reach 1)

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

18,265,156 9,132,578 4,566,289 13,698,868 6,849,434 3,424,717 10,274,152 5,137,076 2,568,538 1,284,269 3,852,808 1,926,404 963,202 481,601 1,444,804 722,402 361,201 1,083,604 541,802 270,901 812,704 406,352 203,176 101,588 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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