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Atlas › Integer Profiles › Node 12,464,656

12,464,656

24 × 41 × 19001
Deficient Even Composite

12,464,656 factors as 2^4 × 41 × 19001. Its 20 positive divisors give a proper-divisor sum of 12,275,948, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 19001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 24,740,604
Proper Divisor Sum 12,275,948
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #12464651 ← → #12464657

Radix Representation

Decimal 12464656
Binary 101111100011001000010000 (24 bits)
Octal 0o57431020
Hexadecimal 0xBE3210

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 19,001 38,002 76,004 152,008 304,016 779,041 1,558,082 3,116,164 6,232,328 12,464,656

Collatz Trajectory (197 steps to reach 1)

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

12,464,656 6,232,328 3,116,164 1,558,082 779,041 2,337,124 1,168,562 584,281 1,752,844 876,422 438,211 1,314,634 657,317 1,971,952 985,976 492,988 246,494 123,247 369,742 184,871 554,614 277,307 831,922 415,961 1,247,884 623,942 311,971 935,914 467,957 1,403,872 701,936 350,968 175,484 87,742 43,871 131,614 65,807 197,422 98,711 296,134 148,067 444,202 222,101 666,304 333,152 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785 26,356 13,178

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