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Atlas › Integer Profiles › Node 7,204,944

7,204,944

24 × 3 × 367 × 409
Abundant Even Composite

7,204,944 factors as 2^4 × 3 × 367 × 409. Its 40 positive divisors give a proper-divisor sum of 11,504,176, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 367 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,709,120
Proper Divisor Sum 11,504,176
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7204943 ← → #7204949

Radix Representation

Decimal 7204944
Binary 11011011111000001010000 (23 bits)
Octal 0o33370120
Hexadecimal 0x6DF050

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 367 409 734 818 1,101 1,227 1,468 1,636 2,202 2,454 2,936 3,272 4,404 4,908 5,872 6,544 8,808 9,816 17,616 19,632 150,103 300,206 450,309 600,412 900,618 1,200,824 1,801,236 2,401,648 3,602,472 7,204,944

Collatz Trajectory (116 steps to reach 1)

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

7,204,944 3,602,472 1,801,236 900,618 450,309 1,350,928 675,464 337,732 168,866 84,433 253,300 126,650 63,325 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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