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4,496,448

26 × 3 × 11 × 2129
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,984,480
Proper Divisor Sum 8,488,032
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4496441 ← → #4496473

Radix Representation

Decimal 4496448
Binary 10001001001110001000000 (23 bits)
Octal 0o21116100
Hexadecimal 0x449C40

Divisor Catalog (56)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1,056 2,112 2,129 4,258 6,387 8,516 12,774 17,032 23,419 25,548 34,064 46,838 51,096 68,128 70,257 93,676 102,192 136,256 140,514 187,352 204,384 281,028 374,704 408,768 562,056 749,408 1,124,112 1,498,816 2,248,224 4,496,448

Collatz Trajectory (149 steps to reach 1)

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

4,496,448 2,248,224 1,124,112 562,056 281,028 140,514 70,257 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 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 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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