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Atlas › Integer Profiles › Node 4,440,960

4,440,960

27 × 33 × 5 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^3 × 5 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 15,789,600
Proper Divisor Sum 11,348,640
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4440959 ← → #4440991

Radix Representation

Decimal 4440960
Binary 10000111100001110000000 (23 bits)
Octal 0o20741600
Hexadecimal 0x43C380

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 257 270 288 320 360 384 432 480 514 540 576 640 720 771 864 960 1,028 1,080 1,152 1,285 1,440

Collatz Trajectory (149 steps to reach 1)

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

4,440,960 2,220,480 1,110,240 555,120 277,560 138,780 69,390 34,695 104,086 52,043 156,130 78,065 234,196 117,098 58,549 175,648 87,824 43,912 21,956 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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