3,925,824

2⁶ × 3 × 7 × 23 × 127

3,925,824 factors as 2^6 × 3 × 7 × 23 × 127. Its 112 positive divisors give a proper-divisor sum of 8,558,784, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 23 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 12,484,608

Proper Divisor Sum 8,558,784

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3925807 ← → #3925829

Radix Representation

Decimal	3925824
Binary	1110111110011101000000 (22 bits)
Octal	0o16763500
Hexadecimal	0x3BE740

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 127 138 161 168 184 192 224 254 276 322 336 368 381 448 483 508 552 644 672 736 762 889 966 1,016 1,104 1,288 1,344 1,472 1,524 1,778 1,932 2,032 2,208 2,576 2,667

Collatz Trajectory (185 steps to reach 1)

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

3,925,824 1,962,912 981,456 490,728 245,364 122,682 61,341 184,024 92,012 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470

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