λ
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Atlas › Integer Profiles › Node 11,804,672

11,804,672

213 × 11 × 131
Abundant Even Composite

11,804,672 factors as 2^13 × 11 × 131. Its 56 positive divisors give a proper-divisor sum of 14,146,000, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^13 × 11 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 25,950,672
Proper Divisor Sum 14,146,000
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #11804671 ← → #11804687

Radix Representation

Decimal 11804672
Binary 101101000010000000000000 (24 bits)
Octal 0o55020000
Hexadecimal 0xB42000

Divisor Catalog (56)

1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 512 524 704 1,024 1,048 1,408 1,441 2,048 2,096 2,816 2,882 4,096 4,192 5,632 5,764 8,192 8,384 11,264 11,528 16,768 22,528 23,056 33,536 45,056 46,112 67,072 90,112 92,224 134,144 184,448 268,288 368,896 536,576 737,792 1,073,152 1,475,584 2,951,168 5,902,336 11,804,672

Collatz Trajectory (153 steps to reach 1)

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

11,804,672 5,902,336 2,951,168 1,475,584 737,792 368,896 184,448 92,224 46,112 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

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