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Atlas › Integer Profiles › Node 10,960,360

10,960,360

23 × 5 × 31 × 8839
Abundant Even Composite

10,960,360 factors as 2^3 × 5 × 31 × 8839. Its 32 positive divisors give a proper-divisor sum of 14,498,840, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 8839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,459,200
Proper Divisor Sum 14,498,840
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10960357 ← → #10960361

Radix Representation

Decimal 10960360
Binary 101001110011110111101000 (24 bits)
Octal 0o51636750
Hexadecimal 0xA73DE8

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 8,839 17,678 35,356 44,195 70,712 88,390 176,780 274,009 353,560 548,018 1,096,036 1,370,045 2,192,072 2,740,090 5,480,180 10,960,360

Collatz Trajectory (171 steps to reach 1)

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

10,960,360 5,480,180 2,740,090 1,370,045 4,110,136 2,055,068 1,027,534 513,767 1,541,302 770,651 2,311,954 1,155,977 3,467,932 1,733,966 866,983 2,600,950 1,300,475 3,901,426 1,950,713 5,852,140 2,926,070 1,463,035 4,389,106 2,194,553 6,583,660 3,291,830 1,645,915 4,937,746 2,468,873 7,406,620 3,703,310 1,851,655 5,554,966 2,777,483 8,332,450 4,166,225 12,498,676 6,249,338 3,124,669 9,374,008 4,687,004 2,343,502 1,171,751 3,515,254 1,757,627 5,272,882 2,636,441 7,909,324 3,954,662 1,977,331 5,931,994 2,965,997 8,897,992 4,448,996 2,224,498 1,112,249 3,336,748 1,668,374 834,187 2,502,562

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