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Atlas › Integer Profiles › Node 6,233,205

6,233,205

3 × 5 × 11 × 37 × 1021
Deficient Odd Composite

6,233,205 factors as 3 × 5 × 11 × 37 × 1021. Its 32 positive divisors give a proper-divisor sum of 4,951,563, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 37 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,184,768
Proper Divisor Sum 4,951,563
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6233191 ← → #6233221

Radix Representation

Decimal 6233205
Binary 10111110001110001110101 (23 bits)
Octal 0o27616165
Hexadecimal 0x5F1C75

Divisor Catalog (32)

1 3 5 11 15 33 37 55 111 165 185 407 555 1,021 1,221 2,035 3,063 5,105 6,105 11,231 15,315 33,693 37,777 56,155 113,331 168,465 188,885 415,547 566,655 1,246,641 2,077,735 6,233,205

Collatz Trajectory (227 steps to reach 1)

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

6,233,205 18,699,616 9,349,808 4,674,904 2,337,452 1,168,726 584,363 1,753,090 876,545 2,629,636 1,314,818 657,409 1,972,228 986,114 493,057 1,479,172 739,586 369,793 1,109,380 554,690 277,345 832,036 416,018 208,009 624,028 312,014 156,007 468,022 234,011 702,034 351,017 1,053,052 526,526 263,263 789,790 394,895 1,184,686 592,343 1,777,030 888,515 2,665,546 1,332,773 3,998,320 1,999,160 999,580 499,790 249,895 749,686 374,843 1,124,530 562,265 1,686,796 843,398 421,699 1,265,098 632,549 1,897,648 948,824 474,412 237,206

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