λ
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794,512

24 × 17 × 23 × 127
Abundant Even Composite

794,512 factors as 2^4 × 17 × 23 × 127. Its 40 positive divisors give a proper-divisor sum of 919,664, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 23 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,714,176
Proper Divisor Sum 919,664
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #794509 ← → #794531

Radix Representation

Decimal 794512
Binary 11000001111110010000 (20 bits)
Octal 0o3017620
Hexadecimal 0xC1F90

Divisor Catalog (40)

1 2 4 8 16 17 23 34 46 68 92 127 136 184 254 272 368 391 508 782 1,016 1,564 2,032 2,159 2,921 3,128 4,318 5,842 6,256 8,636 11,684 17,272 23,368 34,544 46,736 49,657 99,314 198,628 397,256 794,512

Collatz Trajectory (100 steps to reach 1)

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

794,512 397,256 198,628 99,314 49,657 148,972 74,486 37,243 111,730 55,865 167,596 83,798 41,899 125,698 62,849 188,548 94,274 47,137 141,412 70,706 35,353 106,060 53,030 26,515 79,546 39,773 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844

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