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2,832,064

26 × 17 × 19 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 17 × 19 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,309,360
Proper Divisor Sum 3,477,296
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2832041 ← → #2832073

Radix Representation

Decimal 2832064
Binary 1010110011011011000000 (22 bits)
Octal 0o12633300
Hexadecimal 0x2B36C0

Divisor Catalog (56)

1 2 4 8 16 17 19 32 34 38 64 68 76 136 137 152 272 274 304 323 544 548 608 646 1,088 1,096 1,216 1,292 2,192 2,329 2,584 2,603 4,384 4,658 5,168 5,206 8,768 9,316 10,336 10,412 18,632 20,672 20,824 37,264 41,648 44,251 74,528 83,296 88,502 149,056 166,592 177,004 354,008 708,016 1,416,032 2,832,064

Collatz Trajectory (50 steps to reach 1)

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

2,832,064 1,416,032 708,016 354,008 177,004 88,502 44,251 132,754 66,377 199,132 99,566 49,783 149,350 74,675 224,026 112,013 336,040 168,020 84,010 42,005 126,016 63,008 31,504 15,752 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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