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Atlas › Integer Profiles › Node 5,961,728

5,961,728

211 × 41 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^11 × 41 × 71
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,383,280
Proper Divisor Sum 6,421,552
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5961721 ← → #5961731

Radix Representation

Decimal 5961728
Binary 10110101111100000000000 (23 bits)
Octal 0o26574000
Hexadecimal 0x5AF800

Divisor Catalog (48)

1 2 4 8 16 32 41 64 71 82 128 142 164 256 284 328 512 568 656 1,024 1,136 1,312 2,048 2,272 2,624 2,911 4,544 5,248 5,822 9,088 10,496 11,644 18,176 20,992 23,288 36,352 41,984 46,576 72,704 83,968 93,152 145,408 186,304 372,608 745,216 1,490,432 2,980,864 5,961,728

Collatz Trajectory (152 steps to reach 1)

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

5,961,728 2,980,864 1,490,432 745,216 372,608 186,304 93,152 46,576 23,288 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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