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Atlas › Integer Profiles › Node 33,765,171

33,765,171

3 × 112 × 191 × 487
Deficient Odd Composite

33,765,171 factors as 3 × 11^2 × 191 × 487. Its 24 positive divisors give a proper-divisor sum of 16,081,101, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 191 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,846,272
Proper Divisor Sum 16,081,101
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #33765167 ← → #33765197

Radix Representation

Decimal 33765171
Binary 10000000110011011100110011 (26 bits)
Octal 0o200633463
Hexadecimal 0x2033733

Divisor Catalog (24)

1 3 11 33 121 191 363 487 573 1,461 2,101 5,357 6,303 16,071 23,111 58,927 69,333 93,017 176,781 279,051 1,023,187 3,069,561 11,255,057 33,765,171

Collatz Trajectory (157 steps to reach 1)

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

33,765,171 101,295,514 50,647,757 151,943,272 75,971,636 37,985,818 18,992,909 56,978,728 28,489,364 14,244,682 7,122,341 21,367,024 10,683,512 5,341,756 2,670,878 1,335,439 4,006,318 2,003,159 6,009,478 3,004,739 9,014,218 4,507,109 13,521,328 6,760,664 3,380,332 1,690,166 845,083 2,535,250 1,267,625 3,802,876 1,901,438 950,719 2,852,158 1,426,079 4,278,238 2,139,119 6,417,358 3,208,679 9,626,038 4,813,019 14,439,058 7,219,529 21,658,588 10,829,294 5,414,647 16,243,942 8,121,971 24,365,914 12,182,957 36,548,872 18,274,436 9,137,218 4,568,609 13,705,828 6,852,914 3,426,457 10,279,372 5,139,686 2,569,843 7,709,530

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