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Atlas › Integer Profiles › Node 19,256,720

19,256,720

24 × 5 × 7 × 137 × 251
Abundant Even Composite

19,256,720 factors as 2^4 × 5 × 7 × 137 × 251. Its 80 positive divisors give a proper-divisor sum of 32,489,968, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 137 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 51,746,688
Proper Divisor Sum 32,489,968
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #19256717 ← → #19256723

Radix Representation

Decimal 19256720
Binary 1001001011101010110010000 (25 bits)
Octal 0o111352620
Hexadecimal 0x125D590

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 251 274 280 502 548 560 685 959 1,004 1,096 1,255 1,370 1,757 1,918 2,008 2,192 2,510 2,740 3,514 3,836 4,016 4,795 5,020 5,480 7,028 7,672 8,785 9,590 10,040 10,960 14,056 15,344 17,570 19,180 20,080 28,112 34,387 35,140 38,360 68,774 70,280

Collatz Trajectory (120 steps to reach 1)

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

19,256,720 9,628,360 4,814,180 2,407,090 1,203,545 3,610,636 1,805,318 902,659 2,707,978 1,353,989 4,061,968 2,030,984 1,015,492 507,746 253,873 761,620 380,810 190,405 571,216 285,608 142,804 71,402 35,701 107,104 53,552 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397

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