459,085

5 × 11 × 17 × 491

459,085 factors as 5 × 11 × 17 × 491. Its 16 positive divisors give a proper-divisor sum of 178,547, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 637,632

Proper Divisor Sum 178,547

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #459047 ← → #459089

Radix Representation

Decimal	459085
Binary	1110000000101001101 (19 bits)
Octal	0o1600515
Hexadecimal	0x7014D

Divisor Catalog (16)

1 5 11 17 55 85 187 491 935 2,455 5,401 8,347 27,005 41,735 91,817 459,085

Collatz Trajectory (107 steps to reach 1)

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

459,085 1,377,256 688,628 344,314 172,157 516,472 258,236 129,118 64,559 193,678 96,839 290,518 145,259 435,778 217,889 653,668 326,834 163,417 490,252 245,126 122,563 367,690 183,845 551,536 275,768 137,884 68,942 34,471 103,414 51,707 155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476

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