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Atlas › Integer Profiles › Node 33,575,744

33,575,744

26 × 107 × 4903
Abundant Even Composite

33,575,744 factors as 2^6 × 107 × 4903. Its 28 positive divisors give a proper-divisor sum of 33,687,520, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^6 × 107 × 4903
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 67,263,264
Proper Divisor Sum 33,687,520
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #33575743 ← → #33575783

Radix Representation

Decimal 33575744
Binary 10000000000101001101000000 (26 bits)
Octal 0o200051500
Hexadecimal 0x2005340

Divisor Catalog (28)

1 2 4 8 16 32 64 107 214 428 856 1,712 3,424 4,903 6,848 9,806 19,612 39,224 78,448 156,896 313,792 524,621 1,049,242 2,098,484 4,196,968 8,393,936 16,787,872 33,575,744

Collatz Trajectory (201 steps to reach 1)

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

33,575,744 16,787,872 8,393,936 4,196,968 2,098,484 1,049,242 524,621 1,573,864 786,932 393,466 196,733 590,200 295,100 147,550 73,775 221,326 110,663 331,990 165,995 497,986 248,993 746,980 373,490 186,745 560,236 280,118 140,059 420,178 210,089 630,268 315,134 157,567 472,702 236,351 709,054 354,527 1,063,582 531,791 1,595,374 797,687 2,393,062 1,196,531 3,589,594 1,794,797 5,384,392 2,692,196 1,346,098 673,049 2,019,148 1,009,574 504,787 1,514,362 757,181 2,271,544 1,135,772 567,886 283,943 851,830 425,915 1,277,746

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