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Atlas › Integer Profiles › Node 9,668,800

9,668,800

26 × 52 × 6043
Abundant Even Composite

9,668,800 factors as 2^6 × 5^2 × 6043. Its 42 positive divisors give a proper-divisor sum of 14,126,428, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 6043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 23,795,228
Proper Divisor Sum 14,126,428
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9668783 ← → #9668819

Radix Representation

Decimal 9668800
Binary 100100111000100011000000 (24 bits)
Octal 0o44704300
Hexadecimal 0x9388C0

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1,600 6,043 12,086 24,172 30,215 48,344 60,430 96,688 120,860 151,075 193,376 241,720 302,150 386,752 483,440 604,300 966,880 1,208,600 1,933,760 2,417,200 4,834,400 9,668,800

Collatz Trajectory (114 steps to reach 1)

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

9,668,800 4,834,400 2,417,200 1,208,600 604,300 302,150 151,075 453,226 226,613 679,840 339,920 169,960 84,980 42,490 21,245 63,736 31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708

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