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Atlas › Integer Profiles › Node 2,744,896

2,744,896

26 × 7 × 11 × 557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,803,136
Proper Divisor Sum 4,058,240
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2744891 ← → #2744921

Radix Representation

Decimal 2744896
Binary 1010011110001001000000 (22 bits)
Octal 0o12361100
Hexadecimal 0x29E240

Divisor Catalog (56)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 557 616 704 1,114 1,232 2,228 2,464 3,899 4,456 4,928 6,127 7,798 8,912 12,254 15,596 17,824 24,508 31,192 35,648 42,889 49,016 62,384 85,778 98,032 124,768 171,556 196,064 249,536 343,112 392,128 686,224 1,372,448 2,744,896

Collatz Trajectory (55 steps to reach 1)

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

2,744,896 1,372,448 686,224 343,112 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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