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Atlas › Integer Profiles › Node 5,599,720

5,599,720

23 × 5 × 72 × 2857
Abundant Even Composite

5,599,720 factors as 2^3 × 5 × 7^2 × 2857. Its 48 positive divisors give a proper-divisor sum of 9,061,820, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 2857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,661,540
Proper Divisor Sum 9,061,820
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5599717 ← → #5599723

Radix Representation

Decimal 5599720
Binary 10101010111000111101000 (23 bits)
Octal 0o25270750
Hexadecimal 0x5571E8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,960 2,857 5,714 11,428 14,285 19,999 22,856 28,570 39,998 57,140 79,996 99,995 114,280 139,993 159,992 199,990 279,986 399,980 559,972 699,965 799,960 1,119,944 1,399,930 2,799,860 5,599,720

Collatz Trajectory (108 steps to reach 1)

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

5,599,720 2,799,860 1,399,930 699,965 2,099,896 1,049,948 524,974 262,487 787,462 393,731 1,181,194 590,597 1,771,792 885,896 442,948 221,474 110,737 332,212 166,106 83,053 249,160 124,580 62,290 31,145 93,436 46,718 23,359 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389 532,168 266,084 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988

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