438,564

2² × 3 × 7 × 23 × 227

438,564 factors as 2^2 × 3 × 7 × 23 × 227. Its 48 positive divisors give a proper-divisor sum of 787,164, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,225,728

Proper Divisor Sum 787,164

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #438551 ← → #438569

Radix Representation

Decimal	438564
Binary	1101011000100100100 (19 bits)
Octal	0o1530444
Hexadecimal	0x6B124

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 227 276 322 454 483 644 681 908 966 1,362 1,589 1,932 2,724 3,178 4,767 5,221 6,356 9,534 10,442 15,663 19,068 20,884 31,326 36,547 62,652 73,094 109,641 146,188 219,282 438,564

Collatz Trajectory (143 steps to reach 1)

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

438,564 219,282 109,641 328,924 164,462 82,231 246,694 123,347 370,042 185,021 555,064 277,532 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722 65,861 197,584 98,792 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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