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Atlas › Integer Profiles › Node 12,402,016

12,402,016

25 × 112 × 3203
Abundant Even Composite

12,402,016 factors as 2^5 × 11^2 × 3203. Its 36 positive divisors give a proper-divisor sum of 14,444,300, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^5 × 11^2 × 3203
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 26,846,316
Proper Divisor Sum 14,444,300
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #12402011 ← → #12402023

Radix Representation

Decimal 12402016
Binary 101111010011110101100000 (24 bits)
Octal 0o57236540
Hexadecimal 0xBD3D60

Divisor Catalog (36)

1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1,936 3,203 3,872 6,406 12,812 25,624 35,233 51,248 70,466 102,496 140,932 281,864 387,563 563,728 775,126 1,127,456 1,550,252 3,100,504 6,201,008 12,402,016

Collatz Trajectory (104 steps to reach 1)

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

12,402,016 6,201,008 3,100,504 1,550,252 775,126 387,563 1,162,690 581,345 1,744,036 872,018 436,009 1,308,028 654,014 327,007 981,022 490,511 1,471,534 735,767 2,207,302 1,103,651 3,310,954 1,655,477 4,966,432 2,483,216 1,241,608 620,804 310,402 155,201 465,604 232,802 116,401 349,204 174,602 87,301 261,904 130,952 65,476 32,738 16,369 49,108 24,554 12,277 36,832 18,416 9,208 4,604 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121

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