1,003,828

2² × 7 × 35851

For 1,003,828, the 12 positive divisors have a total of 2,007,712. Removing 1,003,828 leaves 1,003,884, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 35851

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,007,712

Proper Divisor Sum 1,003,884

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1003819 ← → #1003841

Radix Representation

Decimal	1003828
Binary	11110101000100110100 (20 bits)
Octal	0o3650464
Hexadecimal	0xF5134

Divisor Catalog (12)

1 2 4 7 14 28 35,851 71,702 143,404 250,957 501,914 1,003,828

Collatz Trajectory (90 steps to reach 1)

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

1,003,828 501,914 250,957 752,872 376,436 188,218 94,109 282,328 141,164 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 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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