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Atlas › Integer Profiles › Node 1,296,576

1,296,576

26 × 32 × 2251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 2251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 3,718,052
Proper Divisor Sum 2,421,476
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1296571 ← → #1296583

Radix Representation

Decimal 1296576
Binary 100111100100011000000 (21 bits)
Octal 0o4744300
Hexadecimal 0x13C8C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2,251 4,502 6,753 9,004 13,506 18,008 20,259 27,012 36,016 40,518 54,024 72,032 81,036 108,048 144,064 162,072 216,096 324,144 432,192 648,288 1,296,576

Collatz Trajectory (80 steps to reach 1)

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

1,296,576 648,288 324,144 162,072 81,036 40,518 20,259 60,778 30,389 91,168 45,584 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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