4,448,832

2⁶ × 3 × 17 × 29 × 47

Prime Factor Structure

Factorization String 2^6 × 3 × 17 × 29 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 13,167,360

Proper Divisor Sum 8,718,528

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4448813 ← → #4448833

Radix Representation

Decimal	4448832
Binary	10000111110001001000000 (23 bits)
Octal	0o20761100
Hexadecimal	0x43E240

Divisor Catalog (60 of 112)

1 2 3 4 6 8 12 16 17 24 29 32 34 47 48 51 58 64 68 87 94 96 102 116 136 141 174 188 192 204 232 272 282 348 376 408 464 493 544 564 696 752 799 816 928 986 1,088 1,128 1,363 1,392 1,479 1,504 1,598 1,632 1,856 1,972 2,256 2,397 2,726 2,784

Collatz Trajectory (180 steps to reach 1)

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

4,448,832 2,224,416 1,112,208 556,104 278,052 139,026 69,513 208,540 104,270 52,135 156,406 78,203 234,610 117,305 351,916 175,958 87,979 263,938 131,969 395,908 197,954 98,977 296,932 148,466 74,233 222,700 111,350 55,675 167,026 83,513 250,540 125,270 62,635 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785

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