4,429,425

3 × 5² × 7 × 11 × 13 × 59

4,429,425 factors as 3 × 5^2 × 7 × 11 × 13 × 59. Its 96 positive divisors give a proper-divisor sum of 5,569,935, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 11 × 13 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,999,360

Proper Divisor Sum 5,569,935

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4429417 ← → #4429427

Radix Representation

Decimal	4429425
Binary	10000111001011001110001 (23 bits)
Octal	0o20713161
Hexadecimal	0x439671

Divisor Catalog (60 of 96)

1 3 5 7 11 13 15 21 25 33 35 39 55 59 65 75 77 91 105 143 165 175 177 195 231 273 275 295 325 385 413 429 455 525 649 715 767 825 885 975 1,001 1,155 1,239 1,365 1,475 1,925 1,947 2,065 2,145 2,275 2,301 3,003 3,245 3,575 3,835 4,425 4,543 5,005 5,369 5,775

Collatz Trajectory (180 steps to reach 1)

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

4,429,425 13,288,276 6,644,138 3,322,069 9,966,208 4,983,104 2,491,552 1,245,776 622,888 311,444 155,722 77,861 233,584 116,792 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696

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