6,469,872

2⁴ × 3 × 134789

6,469,872 factors as 2^4 × 3 × 134789. Its 20 positive divisors give a proper-divisor sum of 10,244,088, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 134789

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,713,960

Proper Divisor Sum 10,244,088

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6469867 ← → #6469891

Radix Representation

Decimal	6469872
Binary	11000101011100011110000 (23 bits)
Octal	0o30534360
Hexadecimal	0x62B8F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 134,789 269,578 404,367 539,156 808,734 1,078,312 1,617,468 2,156,624 3,234,936 6,469,872

Collatz Trajectory (103 steps to reach 1)

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

6,469,872 3,234,936 1,617,468 808,734 404,367 1,213,102 606,551 1,819,654 909,827 2,729,482 1,364,741 4,094,224 2,047,112 1,023,556 511,778 255,889 767,668 383,834 191,917 575,752 287,876 143,938 71,969 215,908 107,954 53,977 161,932 80,966 40,483 121,450 60,725 182,176 91,088 45,544 22,772 11,386 5,693 17,080 8,540 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191

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