λ
Integer Codex

4,220,593

13 × 324661
Deficient Odd Composite

For 4,220,593, the 4 positive divisors have a total of 4,545,268. Removing 4,220,593 leaves 324,675, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 324661
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,545,268
Proper Divisor Sum 324,675
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4220563 ← → #4220597

Radix Representation

Decimal 4220593
Binary 10000000110011010110001 (23 bits)
Octal 0o20063261
Hexadecimal 0x4066B1

Divisor Catalog (4)

1 13 324,661 4,220,593

Collatz Trajectory (167 steps to reach 1)

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

4,220,593 12,661,780 6,330,890 3,165,445 9,496,336 4,748,168 2,374,084 1,187,042 593,521 1,780,564 890,282 445,141 1,335,424 667,712 333,856 166,928 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125

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