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Atlas › Integer Profiles › Node 19,448,260

19,448,260

22 × 5 × 13 × 131 × 571
Abundant Even Composite

19,448,260 factors as 2^2 × 5 × 13 × 131 × 571. Its 48 positive divisors give a proper-divisor sum of 24,948,092, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 131 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,396,352
Proper Divisor Sum 24,948,092
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #19448251 ← → #19448279

Radix Representation

Decimal 19448260
Binary 1001010001100000111000100 (25 bits)
Octal 0o112140704
Hexadecimal 0x128C1C4

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 571 655 1,142 1,310 1,703 2,284 2,620 2,855 3,406 5,710 6,812 7,423 8,515 11,420 14,846 17,030 29,692 34,060 37,115 74,230 74,801 148,460 149,602 299,204 374,005 748,010 972,413 1,496,020 1,944,826 3,889,652 4,862,065 9,724,130 19,448,260

Collatz Trajectory (115 steps to reach 1)

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

19,448,260 9,724,130 4,862,065 14,586,196 7,293,098 3,646,549 10,939,648 5,469,824 2,734,912 1,367,456 683,728 341,864 170,932 85,466 42,733 128,200 64,100 32,050 16,025 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573

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