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Atlas › Integer Profiles › Node 18,924,144

18,924,144

24 × 3 × 109 × 3617
Abundant Even Composite

18,924,144 factors as 2^4 × 3 × 109 × 3617. Its 40 positive divisors give a proper-divisor sum of 30,425,376, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 109 × 3617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 49,349,520
Proper Divisor Sum 30,425,376
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #18924121 ← → #18924151

Radix Representation

Decimal 18924144
Binary 1001000001100001001110000 (25 bits)
Octal 0o110141160
Hexadecimal 0x120C270

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1,308 1,744 2,616 3,617 5,232 7,234 10,851 14,468 21,702 28,936 43,404 57,872 86,808 173,616 394,253 788,506 1,182,759 1,577,012 2,365,518 3,154,024 4,731,036 6,308,048 9,462,072 18,924,144

Collatz Trajectory (102 steps to reach 1)

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

18,924,144 9,462,072 4,731,036 2,365,518 1,182,759 3,548,278 1,774,139 5,322,418 2,661,209 7,983,628 3,991,814 1,995,907 5,987,722 2,993,861 8,981,584 4,490,792 2,245,396 1,122,698 561,349 1,684,048 842,024 421,012 210,506 105,253 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405 133,216 66,608 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557

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