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Atlas › Integer Profiles › Node 3,720,135

3,720,135

3 × 5 × 23 × 41 × 263
Deficient Odd Composite

3,720,135 factors as 3 × 5 × 23 × 41 × 263. Its 32 positive divisors give a proper-divisor sum of 2,666,553, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 41 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,386,688
Proper Divisor Sum 2,666,553
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3720121 ← → #3720137

Radix Representation

Decimal 3720135
Binary 1110001100001111000111 (22 bits)
Octal 0o16141707
Hexadecimal 0x38C3C7

Divisor Catalog (32)

1 3 5 15 23 41 69 115 123 205 263 345 615 789 943 1,315 2,829 3,945 4,715 6,049 10,783 14,145 18,147 30,245 32,349 53,915 90,735 161,745 248,009 744,027 1,240,045 3,720,135

Collatz Trajectory (141 steps to reach 1)

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

3,720,135 11,160,406 5,580,203 16,740,610 8,370,305 25,110,916 12,555,458 6,277,729 18,833,188 9,416,594 4,708,297 14,124,892 7,062,446 3,531,223 10,593,670 5,296,835 15,890,506 7,945,253 23,835,760 11,917,880 5,958,940 2,979,470 1,489,735 4,469,206 2,234,603 6,703,810 3,351,905 10,055,716 5,027,858 2,513,929 7,541,788 3,770,894 1,885,447 5,656,342 2,828,171 8,484,514 4,242,257 12,726,772 6,363,386 3,181,693 9,545,080 4,772,540 2,386,270 1,193,135 3,579,406 1,789,703 5,369,110 2,684,555 8,053,666 4,026,833 12,080,500 6,040,250 3,020,125 9,060,376 4,530,188 2,265,094 1,132,547 3,397,642 1,698,821 5,096,464

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