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Atlas › Integer Profiles › Node 33,304,575

33,304,575

3 × 52 × 23 × 43 × 449
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 23 × 43 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,924,800
Proper Divisor Sum 25,620,225
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #33304559 ← → #33304577

Radix Representation

Decimal 33304575
Binary 1111111000010111111111111 (25 bits)
Octal 0o177027777
Hexadecimal 0x1FC2FFF

Divisor Catalog (48)

1 3 5 15 23 25 43 69 75 115 129 215 345 449 575 645 989 1,075 1,347 1,725 2,245 2,967 3,225 4,945 6,735 10,327 11,225 14,835 19,307 24,725 30,981 33,675 51,635 57,921 74,175 96,535 154,905 258,175 289,605 444,061 482,675 774,525 1,332,183 1,448,025 2,220,305 6,660,915 11,101,525 33,304,575

Collatz Trajectory (250 steps to reach 1)

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

33,304,575 99,913,726 49,956,863 149,870,590 74,935,295 224,805,886 112,402,943 337,208,830 168,604,415 505,813,246 252,906,623 758,719,870 379,359,935 1,138,079,806 569,039,903 1,707,119,710 853,559,855 2,560,679,566 1,280,339,783 3,841,019,350 1,920,509,675 5,761,529,026 2,880,764,513 8,642,293,540 4,321,146,770 2,160,573,385 6,481,720,156 3,240,860,078 1,620,430,039 4,861,290,118 2,430,645,059 7,291,935,178 3,645,967,589 10,937,902,768 5,468,951,384 2,734,475,692 1,367,237,846 683,618,923 2,050,856,770 1,025,428,385 3,076,285,156 1,538,142,578 769,071,289 2,307,213,868 1,153,606,934 576,803,467 1,730,410,402 865,205,201 2,595,615,604 1,297,807,802 648,903,901 1,946,711,704 973,355,852 486,677,926 243,338,963 730,016,890 365,008,445 1,095,025,336 547,512,668 273,756,334

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