1,805,825

5² × 7 × 17 × 607

1,805,825 factors as 5^2 × 7 × 17 × 607. Its 24 positive divisors give a proper-divisor sum of 908,287, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,714,112

Proper Divisor Sum 908,287

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1805821 ← → #1805827

Radix Representation

Decimal	1805825
Binary	110111000111000000001 (21 bits)
Octal	0o6707001
Hexadecimal	0x1B8E01

Divisor Catalog (24)

Collatz Trajectory (96 steps to reach 1)

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

1,805,825 5,417,476 2,708,738 1,354,369 4,063,108 2,031,554 1,015,777 3,047,332 1,523,666 761,833 2,285,500 1,142,750 571,375 1,714,126 857,063 2,571,190 1,285,595 3,856,786 1,928,393 5,785,180 2,892,590 1,446,295 4,338,886 2,169,443 6,508,330 3,254,165 9,762,496 4,881,248 2,440,624 1,220,312 610,156 305,078 152,539 457,618 228,809 686,428 343,214 171,607 514,822 257,411 772,234 386,117 1,158,352 579,176 289,588 144,794 72,397 217,192 108,596 54,298 27,149 81,448 40,724 20,362 10,181 30,544 15,272 7,636 3,818 1,909

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