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Atlas › Integer Profiles › Node 3,501,795

3,501,795

3 × 5 × 11 × 19 × 1117
Deficient Odd Composite

3,501,795 factors as 3 × 5 × 11 × 19 × 1117. Its 32 positive divisors give a proper-divisor sum of 2,937,885, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 19 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,439,680
Proper Divisor Sum 2,937,885
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3501787 ← → #3501809

Radix Representation

Decimal 3501795
Binary 1101010110111011100011 (22 bits)
Octal 0o15267343
Hexadecimal 0x356EE3

Divisor Catalog (32)

1 3 5 11 15 19 33 55 57 95 165 209 285 627 1,045 1,117 3,135 3,351 5,585 12,287 16,755 21,223 36,861 61,435 63,669 106,115 184,305 233,453 318,345 700,359 1,167,265 3,501,795

Collatz Trajectory (159 steps to reach 1)

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

3,501,795 10,505,386 5,252,693 15,758,080 7,879,040 3,939,520 1,969,760 984,880 492,440 246,220 123,110 61,555 184,666 92,333 277,000 138,500 69,250 34,625 103,876 51,938 25,969 77,908 38,954 19,477 58,432 29,216 14,608 7,304 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

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