438,425

5² × 13 × 19 × 71

438,425 factors as 5^2 × 13 × 19 × 71. Its 24 positive divisors give a proper-divisor sum of 186,535, so this integer is deficient. The Collatz stopping time is 293 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 19 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 624,960

Proper Divisor Sum 186,535

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #438419 ← → #438439

Radix Representation

Decimal	438425
Binary	1101011000010011001 (19 bits)
Octal	0o1530231
Hexadecimal	0x6B099

Divisor Catalog (24)

1 5 13 19 25 65 71 95 247 325 355 475 923 1,235 1,349 1,775 4,615 6,175 6,745 17,537 23,075 33,725 87,685 438,425

Collatz Trajectory (293 steps to reach 1)

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

438,425 1,315,276 657,638 328,819 986,458 493,229 1,479,688 739,844 369,922 184,961 554,884 277,442 138,721 416,164 208,082 104,041 312,124 156,062 78,031 234,094 117,047 351,142 175,571 526,714 263,357 790,072 395,036 197,518 98,759 296,278 148,139 444,418 222,209 666,628 333,314 166,657 499,972 249,986 124,993 374,980 187,490 93,745 281,236 140,618 70,309 210,928 105,464 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

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