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7,626,656

25 × 41 × 5813
Abundant Even Composite

7,626,656 factors as 2^5 × 41 × 5813. Its 24 positive divisors give a proper-divisor sum of 7,757,188, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^5 × 41 × 5813
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,383,844
Proper Divisor Sum 7,757,188
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7626649 ← → #7626667

Radix Representation

Decimal 7626656
Binary 11101000101111110100000 (23 bits)
Octal 0o35057640
Hexadecimal 0x745FA0

Divisor Catalog (24)

1 2 4 8 16 32 41 82 164 328 656 1,312 5,813 11,626 23,252 46,504 93,008 186,016 238,333 476,666 953,332 1,906,664 3,813,328 7,626,656

Collatz Trajectory (124 steps to reach 1)

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

7,626,656 3,813,328 1,906,664 953,332 476,666 238,333 715,000 357,500 178,750 89,375 268,126 134,063 402,190 201,095 603,286 301,643 904,930 452,465 1,357,396 678,698 339,349 1,018,048 509,024 254,512 127,256 63,628 31,814 15,907 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080

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