λ
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Atlas › Integer Profiles › Node 7,203,792

7,203,792

24 × 3 × 223 × 673
Abundant Even Composite

7,203,792 factors as 2^4 × 3 × 223 × 673. Its 40 positive divisors give a proper-divisor sum of 11,517,232, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 223 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,721,024
Proper Divisor Sum 11,517,232
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7203769 ← → #7203797

Radix Representation

Decimal 7203792
Binary 11011011110101111010000 (23 bits)
Octal 0o33365720
Hexadecimal 0x6DEBD0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 223 446 669 673 892 1,338 1,346 1,784 2,019 2,676 2,692 3,568 4,038 5,352 5,384 8,076 10,704 10,768 16,152 32,304 150,079 300,158 450,237 600,316 900,474 1,200,632 1,800,948 2,401,264 3,601,896 7,203,792

Collatz Trajectory (116 steps to reach 1)

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

7,203,792 3,601,896 1,800,948 900,474 450,237 1,350,712 675,356 337,678 168,839 506,518 253,259 759,778 379,889 1,139,668 569,834 284,917 854,752 427,376 213,688 106,844 53,422 26,711 80,134 40,067 120,202 60,101 180,304 90,152 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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