λ
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Atlas › Integer Profiles › Node 6,203,384

6,203,384

23 × 11 × 157 × 449
Abundant Even Composite

6,203,384 factors as 2^3 × 11 × 157 × 449. Its 32 positive divisors give a proper-divisor sum of 6,594,616, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 157 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,798,000
Proper Divisor Sum 6,594,616
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6203377 ← → #6203387

Radix Representation

Decimal 6203384
Binary 10111101010011111111000 (23 bits)
Octal 0o27523770
Hexadecimal 0x5EA7F8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 157 314 449 628 898 1,256 1,727 1,796 3,454 3,592 4,939 6,908 9,878 13,816 19,756 39,512 70,493 140,986 281,972 563,944 775,423 1,550,846 3,101,692 6,203,384

Collatz Trajectory (227 steps to reach 1)

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

6,203,384 3,101,692 1,550,846 775,423 2,326,270 1,163,135 3,489,406 1,744,703 5,234,110 2,617,055 7,851,166 3,925,583 11,776,750 5,888,375 17,665,126 8,832,563 26,497,690 13,248,845 39,746,536 19,873,268 9,936,634 4,968,317 14,904,952 7,452,476 3,726,238 1,863,119 5,589,358 2,794,679 8,384,038 4,192,019 12,576,058 6,288,029 18,864,088 9,432,044 4,716,022 2,358,011 7,074,034 3,537,017 10,611,052 5,305,526 2,652,763 7,958,290 3,979,145 11,937,436 5,968,718 2,984,359 8,953,078 4,476,539 13,429,618 6,714,809 20,144,428 10,072,214 5,036,107 15,108,322 7,554,161 22,662,484 11,331,242 5,665,621 16,996,864 8,498,432

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