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Atlas › Integer Profiles › Node 2,736,128

2,736,128

214 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^14 × 167
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 5,504,856
Proper Divisor Sum 2,768,728
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2736089 ← → #2736131

Radix Representation

Decimal 2736128
Binary 1010011100000000000000 (22 bits)
Octal 0o12340000
Hexadecimal 0x29C000

Divisor Catalog (30)

1 2 4 8 16 32 64 128 167 256 334 512 668 1,024 1,336 2,048 2,672 4,096 5,344 8,192 10,688 16,384 21,376 42,752 85,504 171,008 342,016 684,032 1,368,064 2,736,128

Collatz Trajectory (81 steps to reach 1)

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

2,736,128 1,368,064 684,032 342,016 171,008 85,504 42,752 21,376 10,688 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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