λ
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Atlas › Integer Profiles › Node 11,678,128

11,678,128

24 × 7 × 11 × 9479
Abundant Even Composite

11,678,128 factors as 2^4 × 7 × 11 × 9479. Its 40 positive divisors give a proper-divisor sum of 16,534,352, so this integer is abundant. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 9479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 28,212,480
Proper Divisor Sum 16,534,352
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #11678113 ← → #11678129

Radix Representation

Decimal 11678128
Binary 101100100011000110110000 (24 bits)
Octal 0o54430660
Hexadecimal 0xB231B0

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 9,479 18,958 37,916 66,353 75,832 104,269 132,706 151,664 208,538 265,412 417,076 530,824 729,883 834,152 1,061,648 1,459,766 1,668,304 2,919,532 5,839,064 11,678,128

Collatz Trajectory (321 steps to reach 1)

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

11,678,128 5,839,064 2,919,532 1,459,766 729,883 2,189,650 1,094,825 3,284,476 1,642,238 821,119 2,463,358 1,231,679 3,695,038 1,847,519 5,542,558 2,771,279 8,313,838 4,156,919 12,470,758 6,235,379 18,706,138 9,353,069 28,059,208 14,029,604 7,014,802 3,507,401 10,522,204 5,261,102 2,630,551 7,891,654 3,945,827 11,837,482 5,918,741 17,756,224 8,878,112 4,439,056 2,219,528 1,109,764 554,882 277,441 832,324 416,162 208,081 624,244 312,122 156,061 468,184 234,092 117,046 58,523 175,570 87,785 263,356 131,678 65,839 197,518 98,759 296,278 148,139 444,418

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