203,007

3 × 7² × 1381

203,007 factors as 3 × 7^2 × 1381. Its 12 positive divisors give a proper-divisor sum of 112,089, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 1381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 315,096

Proper Divisor Sum 112,089

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #202999 ← → #203011

Radix Representation

Decimal	203007
Binary	110001100011111111 (18 bits)
Octal	0o614377
Hexadecimal	0x318FF

Divisor Catalog (12)

1 3 7 21 49 147 1,381 4,143 9,667 29,001 67,669 203,007

Collatz Trajectory (116 steps to reach 1)

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

203,007 609,022 304,511 913,534 456,767 1,370,302 685,151 2,055,454 1,027,727 3,083,182 1,541,591 4,624,774 2,312,387 6,937,162 3,468,581 10,405,744 5,202,872 2,601,436 1,300,718 650,359 1,951,078 975,539 2,926,618 1,463,309 4,389,928 2,194,964 1,097,482 548,741 1,646,224 823,112 411,556 205,778 102,889 308,668 154,334 77,167 231,502 115,751 347,254 173,627 520,882 260,441 781,324 390,662 195,331 585,994 292,997 878,992 439,496 219,748 109,874 54,937 164,812 82,406 41,203 123,610 61,805 185,416 92,708 46,354

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