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6,561,500

22 × 53 × 11 × 1193
Abundant Even Composite

6,561,500 factors as 2^2 × 5^3 × 11 × 1193. Its 48 positive divisors give a proper-divisor sum of 9,084,676, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 11 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,646,176
Proper Divisor Sum 9,084,676
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6561497 ← → #6561521

Radix Representation

Decimal 6561500
Binary 11001000001111011011100 (23 bits)
Octal 0o31017334
Hexadecimal 0x641EDC

Divisor Catalog (48)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1,100 1,193 1,375 2,386 2,750 4,772 5,500 5,965 11,930 13,123 23,860 26,246 29,825 52,492 59,650 65,615 119,300 131,230 149,125 262,460 298,250 328,075 596,500 656,150 1,312,300 1,640,375 3,280,750 6,561,500

Collatz Trajectory (209 steps to reach 1)

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

6,561,500 3,280,750 1,640,375 4,921,126 2,460,563 7,381,690 3,690,845 11,072,536 5,536,268 2,768,134 1,384,067 4,152,202 2,076,101 6,228,304 3,114,152 1,557,076 778,538 389,269 1,167,808 583,904 291,952 145,976 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730

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