809,746

2 × 7 × 57839

809,746 factors as 2 × 7 × 57839. Its 8 positive divisors give a proper-divisor sum of 578,414, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 7 × 57839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,388,160

Proper Divisor Sum 578,414

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #809741 ← → #809747

Radix Representation

Decimal	809746
Binary	11000101101100010010 (20 bits)
Octal	0o3055422
Hexadecimal	0xC5B12

Divisor Catalog (8)

1 2 7 14 57,839 115,678 404,873 809,746

Collatz Trajectory (87 steps to reach 1)

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

809,746 404,873 1,214,620 607,310 303,655 910,966 455,483 1,366,450 683,225 2,049,676 1,024,838 512,419 1,537,258 768,629 2,305,888 1,152,944 576,472 288,236 144,118 72,059 216,178 108,089 324,268 162,134 81,067 243,202 121,601 364,804 182,402 91,201 273,604 136,802 68,401 205,204 102,602 51,301 153,904 76,952 38,476 19,238 9,619 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857

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