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Atlas › Integer Profiles › Node 18,972,736

18,972,736

26 × 521 × 569
Deficient Even Composite

18,972,736 factors as 2^6 × 521 × 569. Its 28 positive divisors give a proper-divisor sum of 18,814,844, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^6 × 521 × 569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 37,787,580
Proper Divisor Sum 18,814,844
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #18972727 ← → #18972797

Radix Representation

Decimal 18972736
Binary 1001000011000000001000000 (25 bits)
Octal 0o110300100
Hexadecimal 0x1218040

Divisor Catalog (28)

1 2 4 8 16 32 64 521 569 1,042 1,138 2,084 2,276 4,168 4,552 8,336 9,104 16,672 18,208 33,344 36,416 296,449 592,898 1,185,796 2,371,592 4,743,184 9,486,368 18,972,736

Collatz Trajectory (151 steps to reach 1)

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

18,972,736 9,486,368 4,743,184 2,371,592 1,185,796 592,898 296,449 889,348 444,674 222,337 667,012 333,506 166,753 500,260 250,130 125,065 375,196 187,598 93,799 281,398 140,699 422,098 211,049 633,148 316,574 158,287 474,862 237,431 712,294 356,147 1,068,442 534,221 1,602,664 801,332 400,666 200,333 601,000 300,500 150,250 75,125 225,376 112,688 56,344 28,172 14,086 7,043 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346

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