431,211

3 × 11 × 73 × 179

431,211 factors as 3 × 11 × 73 × 179. Its 16 positive divisors give a proper-divisor sum of 208,149, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3 × 11 × 73 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 639,360

Proper Divisor Sum 208,149

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #431203 ← → #431213

Radix Representation

Decimal	431211
Binary	1101001010001101011 (19 bits)
Octal	0o1512153
Hexadecimal	0x6946B

Divisor Catalog (16)

1 3 11 33 73 179 219 537 803 1,969 2,409 5,907 13,067 39,201 143,737 431,211

Collatz Trajectory (143 steps to reach 1)

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

431,211 1,293,634 646,817 1,940,452 970,226 485,113 1,455,340 727,670 363,835 1,091,506 545,753 1,637,260 818,630 409,315 1,227,946 613,973 1,841,920 920,960 460,480 230,240 115,120 57,560 28,780 14,390 7,195 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415

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