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Atlas › Integer Profiles › Node 8,966,936

8,966,936

23 × 11 × 19 × 31 × 173
Abundant Even Composite

8,966,936 factors as 2^3 × 11 × 19 × 31 × 173. Its 64 positive divisors give a proper-divisor sum of 11,077,864, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 31 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,044,800
Proper Divisor Sum 11,077,864
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8966927 ← → #8966959

Radix Representation

Decimal 8966936
Binary 100010001101001100011000 (24 bits)
Octal 0o42151430
Hexadecimal 0x88D318

Divisor Catalog (60 of 64)

1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 173 209 248 341 346 418 589 682 692 836 1,178 1,364 1,384 1,672 1,903 2,356 2,728 3,287 3,806 4,712 5,363 6,479 6,574 7,612 10,726 12,958 13,148 15,224 21,452 25,916 26,296 36,157 42,904 51,832 58,993 72,314 101,897 117,986 144,628 203,794 235,972 289,256 407,588 471,944 815,176

Collatz Trajectory (137 steps to reach 1)

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

8,966,936 4,483,468 2,241,734 1,120,867 3,362,602 1,681,301 5,043,904 2,521,952 1,260,976 630,488 315,244 157,622 78,811 236,434 118,217 354,652 177,326 88,663 265,990 132,995 398,986 199,493 598,480 299,240 149,620 74,810 37,405 112,216 56,108 28,054 14,027 42,082 21,041 63,124 31,562 15,781 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582

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