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Ratio Atlas
Atlas › Integer Profiles › Node 9,200,720

9,200,720

24 × 5 × 47 × 2447
Abundant Even Composite

9,200,720 factors as 2^4 × 5 × 47 × 2447. Its 40 positive divisors give a proper-divisor sum of 12,655,024, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 2447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,855,744
Proper Divisor Sum 12,655,024
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9200717 ← → #9200761

Radix Representation

Decimal 9200720
Binary 100011000110010001010000 (24 bits)
Octal 0o43062120
Hexadecimal 0x8C6450

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,880 2,447 3,760 4,894 9,788 12,235 19,576 24,470 39,152 48,940 97,880 115,009 195,760 230,018 460,036 575,045 920,072 1,150,090 1,840,144 2,300,180 4,600,360 9,200,720

Collatz Trajectory (194 steps to reach 1)

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

9,200,720 4,600,360 2,300,180 1,150,090 575,045 1,725,136 862,568 431,284 215,642 107,821 323,464 161,732 80,866 40,433 121,300 60,650 30,325 90,976 45,488 22,744 11,372 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622

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