λ
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798,144

26 × 3 × 4157
Abundant Even Composite

798,144 factors as 2^6 × 3 × 4157. Its 28 positive divisors give a proper-divisor sum of 1,314,120, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 4157
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,112,264
Proper Divisor Sum 1,314,120
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #798143 ← → #798151

Radix Representation

Decimal 798144
Binary 11000010110111000000 (20 bits)
Octal 0o3026700
Hexadecimal 0xC2DC0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 4,157 8,314 12,471 16,628 24,942 33,256 49,884 66,512 99,768 133,024 199,536 266,048 399,072 798,144

Collatz Trajectory (193 steps to reach 1)

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

798,144 399,072 199,536 99,768 49,884 24,942 12,471 37,414 18,707 56,122 28,061 84,184 42,092 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074

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