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Atlas › Integer Profiles › Node 8,303,584

8,303,584

25 × 47 × 5521
Abundant Even Composite

8,303,584 factors as 2^5 × 47 × 5521. Its 24 positive divisors give a proper-divisor sum of 8,394,944, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^5 × 47 × 5521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,698,528
Proper Divisor Sum 8,394,944
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8303557 ← → #8303587

Radix Representation

Decimal 8303584
Binary 11111101011001111100000 (23 bits)
Octal 0o37531740
Hexadecimal 0x7EB3E0

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 376 752 1,504 5,521 11,042 22,084 44,168 88,336 176,672 259,487 518,974 1,037,948 2,075,896 4,151,792 8,303,584

Collatz Trajectory (199 steps to reach 1)

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

8,303,584 4,151,792 2,075,896 1,037,948 518,974 259,487 778,462 389,231 1,167,694 583,847 1,751,542 875,771 2,627,314 1,313,657 3,940,972 1,970,486 985,243 2,955,730 1,477,865 4,433,596 2,216,798 1,108,399 3,325,198 1,662,599 4,987,798 2,493,899 7,481,698 3,740,849 11,222,548 5,611,274 2,805,637 8,416,912 4,208,456 2,104,228 1,052,114 526,057 1,578,172 789,086 394,543 1,183,630 591,815 1,775,446 887,723 2,663,170 1,331,585 3,994,756 1,997,378 998,689 2,996,068 1,498,034 749,017 2,247,052 1,123,526 561,763 1,685,290 842,645 2,527,936 1,263,968 631,984 315,992

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