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Atlas › Integer Profiles › Node 33,296,272

33,296,272

24 × 23 × 173 × 523
Abundant Even Composite

33,296,272 factors as 2^4 × 23 × 173 × 523. Its 40 positive divisors give a proper-divisor sum of 34,538,672, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 173 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 67,834,944
Proper Divisor Sum 34,538,672
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33296267 ← → #33296279

Radix Representation

Decimal 33296272
Binary 1111111000000111110010000 (25 bits)
Octal 0o177007620
Hexadecimal 0x1FC0F90

Divisor Catalog (40)

1 2 4 8 16 23 46 92 173 184 346 368 523 692 1,046 1,384 2,092 2,768 3,979 4,184 7,958 8,368 12,029 15,916 24,058 31,832 48,116 63,664 90,479 96,232 180,958 192,464 361,916 723,832 1,447,664 2,081,017 4,162,034 8,324,068 16,648,136 33,296,272

Collatz Trajectory (170 steps to reach 1)

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

33,296,272 16,648,136 8,324,068 4,162,034 2,081,017 6,243,052 3,121,526 1,560,763 4,682,290 2,341,145 7,023,436 3,511,718 1,755,859 5,267,578 2,633,789 7,901,368 3,950,684 1,975,342 987,671 2,963,014 1,481,507 4,444,522 2,222,261 6,666,784 3,333,392 1,666,696 833,348 416,674 208,337 625,012 312,506 156,253 468,760 234,380 117,190 58,595 175,786 87,893 263,680 131,840 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164

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