33,765,867

3² × 37 × 101399

33,765,867 factors as 3^2 × 37 × 101399. Its 12 positive divisors give a proper-divisor sum of 16,325,733, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 101399

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 50,091,600

Proper Divisor Sum 16,325,733

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #33765857 ← → #33765899

Radix Representation

Decimal	33765867
Binary	10000000110011100111101011 (26 bits)
Octal	0o200634753
Hexadecimal	0x20339EB

Divisor Catalog (12)

1 3 9 37 111 333 101,399 304,197 912,591 3,751,763 11,255,289 33,765,867

Collatz Trajectory (276 steps to reach 1)

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

33,765,867 101,297,602 50,648,801 151,946,404 75,973,202 37,986,601 113,959,804 56,979,902 28,489,951 85,469,854 42,734,927 128,204,782 64,102,391 192,307,174 96,153,587 288,460,762 144,230,381 432,691,144 216,345,572 108,172,786 54,086,393 162,259,180 81,129,590 40,564,795 121,694,386 60,847,193 182,541,580 91,270,790 45,635,395 136,906,186 68,453,093 205,359,280 102,679,640 51,339,820 25,669,910 12,834,955 38,504,866 19,252,433 57,757,300 28,878,650 14,439,325 43,317,976 21,658,988 10,829,494 5,414,747 16,244,242 8,122,121 24,366,364 12,183,182 6,091,591 18,274,774 9,137,387 27,412,162 13,706,081 41,118,244 20,559,122 10,279,561 30,838,684 15,419,342 7,709,671

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