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4,357,752

23 × 3 × 7 × 25939
Abundant Even Composite

4,357,752 factors as 2^3 × 3 × 7 × 25939. Its 32 positive divisors give a proper-divisor sum of 8,093,448, so this integer is abundant. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 25939
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,451,200
Proper Divisor Sum 8,093,448
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4357739 ← → #4357757

Radix Representation

Decimal 4357752
Binary 10000100111111001111000 (23 bits)
Octal 0o20477170
Hexadecimal 0x427E78

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 25,939 51,878 77,817 103,756 155,634 181,573 207,512 311,268 363,146 544,719 622,536 726,292 1,089,438 1,452,584 2,178,876 4,357,752

Collatz Trajectory (273 steps to reach 1)

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

4,357,752 2,178,876 1,089,438 544,719 1,634,158 817,079 2,451,238 1,225,619 3,676,858 1,838,429 5,515,288 2,757,644 1,378,822 689,411 2,068,234 1,034,117 3,102,352 1,551,176 775,588 387,794 193,897 581,692 290,846 145,423 436,270 218,135 654,406 327,203 981,610 490,805 1,472,416 736,208 368,104 184,052 92,026 46,013 138,040 69,020 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847

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