643,437

3³ × 23831

643,437 factors as 3^3 × 23831. Its 8 positive divisors give a proper-divisor sum of 309,843, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 3^3 × 23831

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 953,280

Proper Divisor Sum 309,843

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #643429 ← → #643439

Radix Representation

Decimal	643437
Binary	10011101000101101101 (20 bits)
Octal	0o2350555
Hexadecimal	0x9D16D

Divisor Catalog (8)

1 3 9 27 23,831 71,493 214,479 643,437

Collatz Trajectory (278 steps to reach 1)

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

643,437 1,930,312 965,156 482,578 241,289 723,868 361,934 180,967 542,902 271,451 814,354 407,177 1,221,532 610,766 305,383 916,150 458,075 1,374,226 687,113 2,061,340 1,030,670 515,335 1,546,006 773,003 2,319,010 1,159,505 3,478,516 1,739,258 869,629 2,608,888 1,304,444 652,222 326,111 978,334 489,167 1,467,502 733,751 2,201,254 1,100,627 3,301,882 1,650,941 4,952,824 2,476,412 1,238,206 619,103 1,857,310 928,655 2,785,966 1,392,983 4,178,950 2,089,475 6,268,426 3,134,213 9,402,640 4,701,320 2,350,660 1,175,330 587,665 1,762,996 881,498

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