λ
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786,912

25 × 3 × 7 × 1171
Abundant Even Composite

786,912 factors as 2^5 × 3 × 7 × 1171. Its 48 positive divisors give a proper-divisor sum of 1,575,840, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 1171
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,362,752
Proper Divisor Sum 1,575,840
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #786901 ← → #786931

Radix Representation

Decimal 786912
Binary 11000000000111100000 (20 bits)
Octal 0o3000740
Hexadecimal 0xC01E0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1,171 2,342 3,513 4,684 7,026 8,197 9,368 14,052 16,394 18,736 24,591 28,104 32,788 37,472 49,182 56,208 65,576 98,364 112,416 131,152 196,728 262,304 393,456 786,912

Collatz Trajectory (56 steps to reach 1)

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

786,912 393,456 196,728 98,364 49,182 24,591 73,774 36,887 110,662 55,331 165,994 82,997 248,992 124,496 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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