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Atlas › Integer Profiles › Node 35,588,896

35,588,896

25 × 72 × 22697
Abundant Even Composite

35,588,896 factors as 2^5 × 7^2 × 22697. Its 36 positive divisors give a proper-divisor sum of 45,919,622, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 22697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 81,508,518
Proper Divisor Sum 45,919,622
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #35588893 ← → #35588909

Radix Representation

Decimal 35588896
Binary 10000111110000101100100000 (26 bits)
Octal 0o207605440
Hexadecimal 0x21F0B20

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1,568 22,697 45,394 90,788 158,879 181,576 317,758 363,152 635,516 726,304 1,112,153 1,271,032 2,224,306 2,542,064 4,448,612 5,084,128 8,897,224 17,794,448 35,588,896

Collatz Trajectory (170 steps to reach 1)

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

35,588,896 17,794,448 8,897,224 4,448,612 2,224,306 1,112,153 3,336,460 1,668,230 834,115 2,502,346 1,251,173 3,753,520 1,876,760 938,380 469,190 234,595 703,786 351,893 1,055,680 527,840 263,920 131,960 65,980 32,990 16,495 49,486 24,743 74,230 37,115 111,346 55,673 167,020 83,510 41,755 125,266 62,633 187,900 93,950 46,975 140,926 70,463 211,390 105,695 317,086 158,543 475,630 237,815 713,446 356,723 1,070,170 535,085 1,605,256 802,628 401,314 200,657 601,972 300,986 150,493 451,480 225,740

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