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Ratio Atlas
Atlas › Integer Profiles › Node 1,003,554

1,003,554

2 × 32 × 127 × 439
Abundant Even Composite

1,003,554 factors as 2 × 3^2 × 127 × 439. Its 24 positive divisors give a proper-divisor sum of 1,192,926, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 127 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,196,480
Proper Divisor Sum 1,192,926
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1003549 ← → #1003589

Radix Representation

Decimal 1003554
Binary 11110101000000100010 (20 bits)
Octal 0o3650042
Hexadecimal 0xF5022

Divisor Catalog (24)

1 2 3 6 9 18 127 254 381 439 762 878 1,143 1,317 2,286 2,634 3,951 7,902 55,753 111,506 167,259 334,518 501,777 1,003,554

Collatz Trajectory (90 steps to reach 1)

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

1,003,554 501,777 1,505,332 752,666 376,333 1,129,000 564,500 282,250 141,125 423,376 211,688 105,844 52,922 26,461 79,384 39,692 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178

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