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Atlas › Integer Profiles › Node 33,296,367

33,296,367

3 × 13 × 79 × 101 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 79 × 101 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,351,680
Proper Divisor Sum 16,055,313
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #33296359 ← → #33296369

Radix Representation

Decimal 33296367
Binary 1111111000000111111101111 (25 bits)
Octal 0o177007757
Hexadecimal 0x1FC0FEF

Divisor Catalog (32)

1 3 13 39 79 101 107 237 303 321 1,027 1,313 1,391 3,081 3,939 4,173 7,979 8,453 10,807 23,937 25,359 32,421 103,727 109,889 140,491 311,181 329,667 421,473 853,753 2,561,259 11,098,789 33,296,367

Collatz Trajectory (188 steps to reach 1)

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

33,296,367 99,889,102 49,944,551 149,833,654 74,916,827 224,750,482 112,375,241 337,125,724 168,562,862 84,281,431 252,844,294 126,422,147 379,266,442 189,633,221 568,899,664 284,449,832 142,224,916 71,112,458 35,556,229 106,668,688 53,334,344 26,667,172 13,333,586 6,666,793 20,000,380 10,000,190 5,000,095 15,000,286 7,500,143 22,500,430 11,250,215 33,750,646 16,875,323 50,625,970 25,312,985 75,938,956 37,969,478 18,984,739 56,954,218 28,477,109 85,431,328 42,715,664 21,357,832 10,678,916 5,339,458 2,669,729 8,009,188 4,004,594 2,002,297 6,006,892 3,003,446 1,501,723 4,505,170 2,252,585 6,757,756 3,378,878 1,689,439 5,068,318 2,534,159 7,602,478

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