200,459

7² × 4091

200,459 factors as 7^2 × 4091. Its 6 positive divisors give a proper-divisor sum of 32,785, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 7^2 × 4091

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 233,244

Proper Divisor Sum 32,785

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #200443 ← → #200461

Radix Representation

Decimal	200459
Binary	110000111100001011 (18 bits)
Octal	0o607413
Hexadecimal	0x30F0B

Divisor Catalog (6)

1 7 49 4,091 28,637 200,459

Collatz Trajectory (235 steps to reach 1)

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

200,459 601,378 300,689 902,068 451,034 225,517 676,552 338,276 169,138 84,569 253,708 126,854 63,427 190,282 95,141 285,424 142,712 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791

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