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Atlas › Integer Profiles › Node 17,437,040

17,437,040

24 × 5 × 211 × 1033
Abundant Even Composite

17,437,040 factors as 2^4 × 5 × 211 × 1033. Its 40 positive divisors give a proper-divisor sum of 23,335,648, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 211 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 40,772,688
Proper Divisor Sum 23,335,648
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17437031 ← → #17437051

Radix Representation

Decimal 17437040
Binary 1000010100001000101110000 (25 bits)
Octal 0o102410560
Hexadecimal 0x10A1170

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 211 422 844 1,033 1,055 1,688 2,066 2,110 3,376 4,132 4,220 5,165 8,264 8,440 10,330 16,528 16,880 20,660 41,320 82,640 217,963 435,926 871,852 1,089,815 1,743,704 2,179,630 3,487,408 4,359,260 8,718,520 17,437,040

Collatz Trajectory (107 steps to reach 1)

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

17,437,040 8,718,520 4,359,260 2,179,630 1,089,815 3,269,446 1,634,723 4,904,170 2,452,085 7,356,256 3,678,128 1,839,064 919,532 459,766 229,883 689,650 344,825 1,034,476 517,238 258,619 775,858 387,929 1,163,788 581,894 290,947 872,842 436,421 1,309,264 654,632 327,316 163,658 81,829 245,488 122,744 61,372 30,686 15,343 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434

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