λ
Prime Ledger

1,035,744

25 × 3 × 10789
Abundant Even Composite

1,035,744 has the prime decomposition 2^5 × 3 × 10789. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 10789
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,719,080
Proper Divisor Sum 1,683,336
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1035743 ← → #1035761

Radix Representation

Decimal 1035744
Binary 11111100110111100000 (20 bits)
Octal 0o3746740
Hexadecimal 0xFCDE0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 10,789 21,578 32,367 43,156 64,734 86,312 129,468 172,624 258,936 345,248 517,872 1,035,744

Collatz Trajectory (196 steps to reach 1)

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

1,035,744 517,872 258,936 129,468 64,734 32,367 97,102 48,551 145,654 72,827 218,482 109,241 327,724 163,862 81,931 245,794 122,897 368,692 184,346 92,173 276,520 138,260 69,130 34,565 103,696 51,848 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097

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