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Atlas › Integer Profiles › Node 19,118,008

19,118,008

23 × 7 × 13 × 26261
Abundant Even Composite

19,118,008 factors as 2^3 × 7 × 13 × 26261. Its 32 positive divisors give a proper-divisor sum of 25,002,152, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 26261
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,120,160
Proper Divisor Sum 25,002,152
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #19117999 ← → #19118023

Radix Representation

Decimal 19118008
Binary 1001000111011011110111000 (25 bits)
Octal 0o110733670
Hexadecimal 0x123B7B8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 26,261 52,522 105,044 183,827 210,088 341,393 367,654 682,786 735,308 1,365,572 1,470,616 2,389,751 2,731,144 4,779,502 9,559,004 19,118,008

Collatz Trajectory (102 steps to reach 1)

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

19,118,008 9,559,004 4,779,502 2,389,751 7,169,254 3,584,627 10,753,882 5,376,941 16,130,824 8,065,412 4,032,706 2,016,353 6,049,060 3,024,530 1,512,265 4,536,796 2,268,398 1,134,199 3,402,598 1,701,299 5,103,898 2,551,949 7,655,848 3,827,924 1,913,962 956,981 2,870,944 1,435,472 717,736 358,868 179,434 89,717 269,152 134,576 67,288 33,644 16,822 8,411 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370

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