λ
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7,435,593

32 × 11 × 19 × 59 × 67
Deficient Odd Composite

7,435,593 factors as 3^2 × 11 × 19 × 59 × 67. Its 48 positive divisors give a proper-divisor sum of 5,294,007, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 19 × 59 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,729,600
Proper Divisor Sum 5,294,007
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7435591 ← → #7435609

Radix Representation

Decimal 7435593
Binary 11100010111010101001001 (23 bits)
Octal 0o34272511
Hexadecimal 0x717549

Divisor Catalog (48)

1 3 9 11 19 33 57 59 67 99 171 177 201 209 531 603 627 649 737 1,121 1,273 1,881 1,947 2,211 3,363 3,819 3,953 5,841 6,633 10,089 11,457 11,859 12,331 14,003 35,577 36,993 42,009 43,483 75,107 110,979 126,027 130,449 225,321 391,347 675,963 826,177 2,478,531 7,435,593

Collatz Trajectory (204 steps to reach 1)

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

7,435,593 22,306,780 11,153,390 5,576,695 16,730,086 8,365,043 25,095,130 12,547,565 37,642,696 18,821,348 9,410,674 4,705,337 14,116,012 7,058,006 3,529,003 10,587,010 5,293,505 15,880,516 7,940,258 3,970,129 11,910,388 5,955,194 2,977,597 8,932,792 4,466,396 2,233,198 1,116,599 3,349,798 1,674,899 5,024,698 2,512,349 7,537,048 3,768,524 1,884,262 942,131 2,826,394 1,413,197 4,239,592 2,119,796 1,059,898 529,949 1,589,848 794,924 397,462 198,731 596,194 298,097 894,292 447,146 223,573 670,720 335,360 167,680 83,840 41,920 20,960 10,480 5,240 2,620 1,310

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