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Atlas › Integer Profiles › Node 3,933,524

3,933,524

22 × 73 × 47 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^3 × 47 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,332,800
Proper Divisor Sum 4,399,276
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3933509 ← → #3933539

Radix Representation

Decimal 3933524
Binary 1111000000010101010100 (22 bits)
Octal 0o17002524
Hexadecimal 0x3C0554

Divisor Catalog (48)

1 2 4 7 14 28 47 49 61 94 98 122 188 196 244 329 343 427 658 686 854 1,316 1,372 1,708 2,303 2,867 2,989 4,606 5,734 5,978 9,212 11,468 11,956 16,121 20,069 20,923 32,242 40,138 41,846 64,484 80,276 83,692 140,483 280,966 561,932 983,381 1,966,762 3,933,524

Collatz Trajectory (48 steps to reach 1)

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

3,933,524 1,966,762 983,381 2,950,144 1,475,072 737,536 368,768 184,384 92,192 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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