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Atlas › Integer Profiles › Node 5,935,468

5,935,468

22 × 72 × 11 × 2753
Abundant Even Composite

5,935,468 factors as 2^2 × 7^2 × 11 × 2753. Its 36 positive divisors give a proper-divisor sum of 7,250,684, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 2753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,186,152
Proper Divisor Sum 7,250,684
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5935453 ← → #5935469

Radix Representation

Decimal 5935468
Binary 10110101001000101101100 (23 bits)
Octal 0o26510554
Hexadecimal 0x5A916C

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1,078 2,156 2,753 5,506 11,012 19,271 30,283 38,542 60,566 77,084 121,132 134,897 211,981 269,794 423,962 539,588 847,924 1,483,867 2,967,734 5,935,468

Collatz Trajectory (121 steps to reach 1)

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

5,935,468 2,967,734 1,483,867 4,451,602 2,225,801 6,677,404 3,338,702 1,669,351 5,008,054 2,504,027 7,512,082 3,756,041 11,268,124 5,634,062 2,817,031 8,451,094 4,225,547 12,676,642 6,338,321 19,014,964 9,507,482 4,753,741 14,261,224 7,130,612 3,565,306 1,782,653 5,347,960 2,673,980 1,336,990 668,495 2,005,486 1,002,743 3,008,230 1,504,115 4,512,346 2,256,173 6,768,520 3,384,260 1,692,130 846,065 2,538,196 1,269,098 634,549 1,903,648 951,824 475,912 237,956 118,978 59,489 178,468 89,234 44,617 133,852 66,926 33,463 100,390 50,195 150,586 75,293 225,880

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