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Atlas › Integer Profiles › Node 5,916,512

5,916,512

25 × 7 × 61 × 433
Abundant Even Composite

5,916,512 factors as 2^5 × 7 × 61 × 433. Its 48 positive divisors give a proper-divisor sum of 7,645,120, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 61 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,561,632
Proper Divisor Sum 7,645,120
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5916511 ← → #5916517

Radix Representation

Decimal 5916512
Binary 10110100100011101100000 (23 bits)
Octal 0o26443540
Hexadecimal 0x5A4760

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 433 488 854 866 976 1,708 1,732 1,952 3,031 3,416 3,464 6,062 6,832 6,928 12,124 13,664 13,856 24,248 26,413 48,496 52,826 96,992 105,652 184,891 211,304 369,782 422,608 739,564 845,216 1,479,128 2,958,256 5,916,512

Collatz Trajectory (64 steps to reach 1)

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

5,916,512 2,958,256 1,479,128 739,564 369,782 184,891 554,674 277,337 832,012 416,006 208,003 624,010 312,005 936,016 468,008 234,004 117,002 58,501 175,504 87,752 43,876 21,938 10,969 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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