λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,489,400

9,489,400

23 × 52 × 17 × 2791
Abundant Even Composite

9,489,400 factors as 2^3 × 5^2 × 17 × 2791. Its 48 positive divisors give a proper-divisor sum of 13,879,640, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 17 × 2791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,369,040
Proper Divisor Sum 13,879,640
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9489367 ← → #9489407

Radix Representation

Decimal 9489400
Binary 100100001100101111111000 (24 bits)
Octal 0o44145770
Hexadecimal 0x90CBF8

Divisor Catalog (48)

1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1,700 2,791 3,400 5,582 11,164 13,955 22,328 27,910 47,447 55,820 69,775 94,894 111,640 139,550 189,788 237,235 279,100 379,576 474,470 558,200 948,940 1,186,175 1,897,880 2,372,350 4,744,700 9,489,400

Collatz Trajectory (106 steps to reach 1)

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

9,489,400 4,744,700 2,372,350 1,186,175 3,558,526 1,779,263 5,337,790 2,668,895 8,006,686 4,003,343 12,010,030 6,005,015 18,015,046 9,007,523 27,022,570 13,511,285 40,533,856 20,266,928 10,133,464 5,066,732 2,533,366 1,266,683 3,800,050 1,900,025 5,700,076 2,850,038 1,425,019 4,275,058 2,137,529 6,412,588 3,206,294 1,603,147 4,809,442 2,404,721 7,214,164 3,607,082 1,803,541 5,410,624 2,705,312 1,352,656 676,328 338,164 169,082 84,541 253,624 126,812 63,406 31,703 95,110 47,555 142,666 71,333 214,000 107,000 53,500 26,750 13,375 40,126 20,063 60,190

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #9,489,399 Browse Full Index Next Integer #9,489,401 →