λ
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Atlas › Integer Profiles › Node 3,693,855

3,693,855

3 × 5 × 11 × 61 × 367
Deficient Odd Composite

3,693,855 factors as 3 × 5 × 11 × 61 × 367. Its 32 positive divisors give a proper-divisor sum of 2,877,153, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 61 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,571,008
Proper Divisor Sum 2,877,153
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3693853 ← → #3693863

Radix Representation

Decimal 3693855
Binary 1110000101110100011111 (22 bits)
Octal 0o16056437
Hexadecimal 0x385D1F

Divisor Catalog (32)

1 3 5 11 15 33 55 61 165 183 305 367 671 915 1,101 1,835 2,013 3,355 4,037 5,505 10,065 12,111 20,185 22,387 60,555 67,161 111,935 246,257 335,805 738,771 1,231,285 3,693,855

Collatz Trajectory (203 steps to reach 1)

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

3,693,855 11,081,566 5,540,783 16,622,350 8,311,175 24,933,526 12,466,763 37,400,290 18,700,145 56,100,436 28,050,218 14,025,109 42,075,328 21,037,664 10,518,832 5,259,416 2,629,708 1,314,854 657,427 1,972,282 986,141 2,958,424 1,479,212 739,606 369,803 1,109,410 554,705 1,664,116 832,058 416,029 1,248,088 624,044 312,022 156,011 468,034 234,017 702,052 351,026 175,513 526,540 263,270 131,635 394,906 197,453 592,360 296,180 148,090 74,045 222,136 111,068 55,534 27,767 83,302 41,651 124,954 62,477 187,432 93,716 46,858 23,429

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