λ
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Atlas › Integer Profiles › Node 11,949,016

11,949,016

23 × 71 × 109 × 193
Deficient Even Composite

11,949,016 factors as 2^3 × 71 × 109 × 193. Its 32 positive divisors give a proper-divisor sum of 11,098,184, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 71 × 109 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,047,200
Proper Divisor Sum 11,098,184
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11949013 ← → #11949019

Radix Representation

Decimal 11949016
Binary 101101100101001111011000 (24 bits)
Octal 0o55451730
Hexadecimal 0xB653D8

Divisor Catalog (32)

1 2 4 8 71 109 142 193 218 284 386 436 568 772 872 1,544 7,739 13,703 15,478 21,037 27,406 30,956 42,074 54,812 61,912 84,148 109,624 168,296 1,493,627 2,987,254 5,974,508 11,949,016

Collatz Trajectory (91 steps to reach 1)

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

11,949,016 5,974,508 2,987,254 1,493,627 4,480,882 2,240,441 6,721,324 3,360,662 1,680,331 5,040,994 2,520,497 7,561,492 3,780,746 1,890,373 5,671,120 2,835,560 1,417,780 708,890 354,445 1,063,336 531,668 265,834 132,917 398,752 199,376 99,688 49,844 24,922 12,461 37,384 18,692 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59

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