λ
Integer Codex

5,288,490

2 × 34 × 5 × 6529
Abundant Even Composite

For 5,288,490, the 40 positive divisors have a total of 14,222,340. Removing 5,288,490 leaves 8,933,850, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 6529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,222,340
Proper Divisor Sum 8,933,850
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5288489 ← → #5288509

Radix Representation

Decimal 5288490
Binary 10100001011001000101010 (23 bits)
Octal 0o24131052
Hexadecimal 0x50B22A

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 6,529 13,058 19,587 32,645 39,174 58,761 65,290 97,935 117,522 176,283 195,870 293,805 352,566 528,849 587,610 881,415 1,057,698 1,762,830 2,644,245 5,288,490

Collatz Trajectory (157 steps to reach 1)

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

5,288,490 2,644,245 7,932,736 3,966,368 1,983,184 991,592 495,796 247,898 123,949 371,848 185,924 92,962 46,481 139,444 69,722 34,861 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

More profiles

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