12,516,112

2⁴ × 7 × 111751

12,516,112 factors as 2^4 × 7 × 111751. Its 20 positive divisors give a proper-divisor sum of 15,198,384, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 111751

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 27,714,496

Proper Divisor Sum 15,198,384

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #12516073 ← → #12516121

Radix Representation

Decimal	12516112
Binary	101111101111101100010000 (24 bits)
Octal	0o57575420
Hexadecimal	0xBEFB10

Divisor Catalog (20)

Collatz Trajectory (104 steps to reach 1)

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

12,516,112 6,258,056 3,129,028 1,564,514 782,257 2,346,772 1,173,386 586,693 1,760,080 880,040 440,020 220,010 110,005 330,016 165,008 82,504 41,252 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206

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