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Atlas › Integer Profiles › Node 8,308,656

8,308,656

24 × 35 × 2137
Abundant Even Composite

8,308,656 factors as 2^4 × 3^5 × 2137. Its 60 positive divisors give a proper-divisor sum of 15,816,536, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 2137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 24,125,192
Proper Divisor Sum 15,816,536
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8308649 ← → #8308669

Radix Representation

Decimal 8308656
Binary 11111101100011110110000 (23 bits)
Octal 0o37543660
Hexadecimal 0x7EC7B0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1,296 1,944 2,137 3,888 4,274 6,411 8,548 12,822 17,096 19,233 25,644 34,192 38,466 51,288 57,699 76,932 102,576 115,398 153,864 173,097 230,796 307,728 346,194 461,592 519,291 692,388 923,184 1,038,582 1,384,776 2,077,164 2,769,552 4,154,328 8,308,656

Collatz Trajectory (155 steps to reach 1)

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

8,308,656 4,154,328 2,077,164 1,038,582 519,291 1,557,874 778,937 2,336,812 1,168,406 584,203 1,752,610 876,305 2,628,916 1,314,458 657,229 1,971,688 985,844 492,922 246,461 739,384 369,692 184,846 92,423 277,270 138,635 415,906 207,953 623,860 311,930 155,965 467,896 233,948 116,974 58,487 175,462 87,731 263,194 131,597 394,792 197,396 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788

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