λ
Prime Ledger

1,038,784

26 × 16231
Deficient Even Composite

1,038,784 has the prime decomposition 2^6 × 16231. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 16231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 2,061,464
Proper Divisor Sum 1,022,680
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1038757 ← → #1038797

Radix Representation

Decimal 1038784
Binary 11111101100111000000 (20 bits)
Octal 0o3754700
Hexadecimal 0xFD9C0

Divisor Catalog (14)

1 2 4 8 16 32 64 16,231 32,462 64,924 129,848 259,696 519,392 1,038,784

Collatz Trajectory (196 steps to reach 1)

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

1,038,784 519,392 259,696 129,848 64,924 32,462 16,231 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128 111,064 55,532 27,766 13,883 41,650 20,825 62,476 31,238 15,619 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590

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