782,880

2⁵ × 3 × 5 × 7 × 233

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,830,464

Proper Divisor Sum 2,047,584

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #782861 ← → #782891

Radix Representation

Decimal	782880
Binary	10111111001000100000 (20 bits)
Octal	0o2771040
Hexadecimal	0xBF220

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 233 240 280 336 420 466 480 560 672 699 840 932 1,120 1,165 1,398 1,631 1,680 1,864 2,330 2,796 3,262 3,360 3,495

Collatz Trajectory (131 steps to reach 1)

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

782,880 391,440 195,720 97,860 48,930 24,465 73,396 36,698 18,349 55,048 27,524 13,762 6,881 20,644 10,322 5,161 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972

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