λ
Integer Codex

5,337,336

23 × 3 × 222389
Abundant Even Composite

For 5,337,336, the 16 positive divisors have a total of 13,343,400. Removing 5,337,336 leaves 8,006,064, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 222389
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,343,400
Proper Divisor Sum 8,006,064
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5337313 ← → #5337341

Radix Representation

Decimal 5337336
Binary 10100010111000011111000 (23 bits)
Octal 0o24270370
Hexadecimal 0x5170F8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 222,389 444,778 667,167 889,556 1,334,334 1,779,112 2,668,668 5,337,336

Collatz Trajectory (100 steps to reach 1)

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

5,337,336 2,668,668 1,334,334 667,167 2,001,502 1,000,751 3,002,254 1,501,127 4,503,382 2,251,691 6,755,074 3,377,537 10,132,612 5,066,306 2,533,153 7,599,460 3,799,730 1,899,865 5,699,596 2,849,798 1,424,899 4,274,698 2,137,349 6,412,048 3,206,024 1,603,012 801,506 400,753 1,202,260 601,130 300,565 901,696 450,848 225,424 112,712 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146

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