12,641,372

2² × 409 × 7727

12,641,372 factors as 2^2 × 409 × 7727. Its 12 positive divisors give a proper-divisor sum of 9,537,988, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^2 × 409 × 7727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,179,360

Proper Divisor Sum 9,537,988

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #12641371 ← → #12641381

Radix Representation

Decimal	12641372
Binary	110000001110010001011100 (24 bits)
Octal	0o60162134
Hexadecimal	0xC0E45C

Divisor Catalog (12)

1 2 4 409 818 1,636 7,727 15,454 30,908 3,160,343 6,320,686 12,641,372

Collatz Trajectory (272 steps to reach 1)

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

12,641,372 6,320,686 3,160,343 9,481,030 4,740,515 14,221,546 7,110,773 21,332,320 10,666,160 5,333,080 2,666,540 1,333,270 666,635 1,999,906 999,953 2,999,860 1,499,930 749,965 2,249,896 1,124,948 562,474 281,237 843,712 421,856 210,928 105,464 52,732 26,366 13,183 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185

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