12,372,568

2³ × 13 × 118967

12,372,568 factors as 2^3 × 13 × 118967. Its 16 positive divisors give a proper-divisor sum of 12,610,712, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 118967

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,983,280

Proper Divisor Sum 12,610,712

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12372559 ← → #12372587

Radix Representation

Decimal	12372568
Binary	101111001100101001011000 (24 bits)
Octal	0o57145130
Hexadecimal	0xBCCA58

Divisor Catalog (16)

1 2 4 8 13 26 52 104 118,967 237,934 475,868 951,736 1,546,571 3,093,142 6,186,284 12,372,568

Collatz Trajectory (104 steps to reach 1)

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

12,372,568 6,186,284 3,093,142 1,546,571 4,639,714 2,319,857 6,959,572 3,479,786 1,739,893 5,219,680 2,609,840 1,304,920 652,460 326,230 163,115 489,346 244,673 734,020 367,010 183,505 550,516 275,258 137,629 412,888 206,444 103,222 51,611 154,834 77,417 232,252 116,126 58,063 174,190 87,095 261,286 130,643 391,930 195,965 587,896 293,948 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180

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