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Atlas › Integer Profiles › Node 3,928,576

3,928,576

29 × 7673
Deficient Even Composite

Prime Factor Structure

Factorization String 2^9 × 7673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,850,502
Proper Divisor Sum 3,921,926
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3928553 ← → #3928577

Radix Representation

Decimal 3928576
Binary 1110111111001000000000 (22 bits)
Octal 0o16771000
Hexadecimal 0x3BF200

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 7,673 15,346 30,692 61,384 122,768 245,536 491,072 982,144 1,964,288 3,928,576

Collatz Trajectory (66 steps to reach 1)

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

3,928,576 1,964,288 982,144 491,072 245,536 122,768 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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