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Atlas › Integer Profiles › Node 15,801,872

15,801,872

24 × 73 × 83 × 163
Deficient Even Composite

15,801,872 factors as 2^4 × 73 × 83 × 163. Its 40 positive divisors give a proper-divisor sum of 15,800,272, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^4 × 73 × 83 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 31,602,144
Proper Divisor Sum 15,800,272
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #15801869 ← → #15801889

Radix Representation

Decimal 15801872
Binary 111100010001111000010000 (24 bits)
Octal 0o74217020
Hexadecimal 0xF11E10

Divisor Catalog (40)

1 2 4 8 16 73 83 146 163 166 292 326 332 584 652 664 1,168 1,304 1,328 2,608 6,059 11,899 12,118 13,529 23,798 24,236 27,058 47,596 48,472 54,116 95,192 96,944 108,232 190,384 216,464 987,617 1,975,234 3,950,468 7,900,936 15,801,872

Collatz Trajectory (231 steps to reach 1)

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

15,801,872 7,900,936 3,950,468 1,975,234 987,617 2,962,852 1,481,426 740,713 2,222,140 1,111,070 555,535 1,666,606 833,303 2,499,910 1,249,955 3,749,866 1,874,933 5,624,800 2,812,400 1,406,200 703,100 351,550 175,775 527,326 263,663 790,990 395,495 1,186,486 593,243 1,779,730 889,865 2,669,596 1,334,798 667,399 2,002,198 1,001,099 3,003,298 1,501,649 4,504,948 2,252,474 1,126,237 3,378,712 1,689,356 844,678 422,339 1,267,018 633,509 1,900,528 950,264 475,132 237,566 118,783 356,350 178,175 534,526 267,263 801,790 400,895 1,202,686 601,343

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