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Atlas › Integer Profiles › Node 3,952,256

3,952,256

27 × 7 × 11 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 11 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,840,960
Proper Divisor Sum 5,888,704
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3952243 ← → #3952301

Radix Representation

Decimal 3952256
Binary 1111000100111010000000 (22 bits)
Octal 0o17047200
Hexadecimal 0x3C4E80

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 401 448 616 704 802 896 1,232 1,408 1,604 2,464 2,807 3,208 4,411 4,928 5,614 6,416 8,822 9,856 11,228 12,832 17,644 22,456 25,664 30,877 35,288 44,912 51,328 61,754 70,576 89,824 123,508 141,152 179,648 247,016 282,304 359,296 494,032

Collatz Trajectory (61 steps to reach 1)

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

3,952,256 1,976,128 988,064 494,032 247,016 123,508 61,754 30,877 92,632 46,316 23,158 11,579 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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