773,766

2 × 3³ × 7 × 23 × 89

773,766 has the prime decomposition 2 × 3^3 × 7 × 23 × 89. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 23 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,073,600

Proper Divisor Sum 1,299,834

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #773723 ← → #773767

Radix Representation

Decimal	773766
Binary	10111100111010000110 (20 bits)
Octal	0o2747206
Hexadecimal	0xBCE86

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 89 126 138 161 178 189 207 267 322 378 414 483 534 621 623 801 966 1,242 1,246 1,449 1,602 1,869 2,047 2,403 2,898 3,738 4,094 4,347 4,806 5,607 6,141 8,694 11,214 12,282 14,329 16,821 18,423 28,658 33,642 36,846 42,987 55,269 85,974 110,538

Collatz Trajectory (193 steps to reach 1)

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

773,766 386,883 1,160,650 580,325 1,740,976 870,488 435,244 217,622 108,811 326,434 163,217 489,652 244,826 122,413 367,240 183,620 91,810 45,905 137,716 68,858 34,429 103,288 51,644 25,822 12,911 38,734 19,367 58,102 29,051 87,154 43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909

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