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Atlas › Integer Profiles › Node 54,073,300

54,073,300

22 × 52 × 31 × 17443
Abundant Even Composite

54,073,300 factors as 2^2 × 5^2 × 31 × 17443. Its 36 positive divisors give a proper-divisor sum of 67,057,836, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 31 × 17443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 121,131,136
Proper Divisor Sum 67,057,836
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #54073291 ← → #54073321

Radix Representation

Decimal 54073300
Binary 11001110010001011111010100 (26 bits)
Octal 0o316213724
Hexadecimal 0x33917D4

Divisor Catalog (36)

1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1,550 3,100 17,443 34,886 69,772 87,215 174,430 348,860 436,075 540,733 872,150 1,081,466 1,744,300 2,162,932 2,703,665 5,407,330 10,814,660 13,518,325 27,036,650 54,073,300

Collatz Trajectory (199 steps to reach 1)

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

54,073,300 27,036,650 13,518,325 40,554,976 20,277,488 10,138,744 5,069,372 2,534,686 1,267,343 3,802,030 1,901,015 5,703,046 2,851,523 8,554,570 4,277,285 12,831,856 6,415,928 3,207,964 1,603,982 801,991 2,405,974 1,202,987 3,608,962 1,804,481 5,413,444 2,706,722 1,353,361 4,060,084 2,030,042 1,015,021 3,045,064 1,522,532 761,266 380,633 1,141,900 570,950 285,475 856,426 428,213 1,284,640 642,320 321,160 160,580 80,290 40,145 120,436 60,218 30,109 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166

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