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Atlas › Integer Profiles › Node 17,880,976

17,880,976

24 × 19 × 131 × 449
Abundant Even Composite

17,880,976 factors as 2^4 × 19 × 131 × 449. Its 40 positive divisors give a proper-divisor sum of 18,947,024, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 131 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 36,828,000
Proper Divisor Sum 18,947,024
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #17880971 ← → #17880977

Radix Representation

Decimal 17880976
Binary 1000100001101011110010000 (25 bits)
Octal 0o104153620
Hexadecimal 0x110D790

Divisor Catalog (40)

1 2 4 8 16 19 38 76 131 152 262 304 449 524 898 1,048 1,796 2,096 2,489 3,592 4,978 7,184 8,531 9,956 17,062 19,912 34,124 39,824 58,819 68,248 117,638 136,496 235,276 470,552 941,104 1,117,561 2,235,122 4,470,244 8,940,488 17,880,976

Collatz Trajectory (89 steps to reach 1)

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

17,880,976 8,940,488 4,470,244 2,235,122 1,117,561 3,352,684 1,676,342 838,171 2,514,514 1,257,257 3,771,772 1,885,886 942,943 2,828,830 1,414,415 4,243,246 2,121,623 6,364,870 3,182,435 9,547,306 4,773,653 14,320,960 7,160,480 3,580,240 1,790,120 895,060 447,530 223,765 671,296 335,648 167,824 83,912 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152

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