λ
Prime Ledger

9,004,744

23 × 7 × 113 × 1423
Abundant Even Composite

9,004,744 has the prime decomposition 2^3 × 7 × 113 × 1423. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 113 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,480,320
Proper Divisor Sum 10,475,576
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9004741 ← → #9004771

Radix Representation

Decimal 9004744
Binary 100010010110011011001000 (24 bits)
Octal 0o42263310
Hexadecimal 0x8966C8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 113 226 452 791 904 1,423 1,582 2,846 3,164 5,692 6,328 9,961 11,384 19,922 39,844 79,688 160,799 321,598 643,196 1,125,593 1,286,392 2,251,186 4,502,372 9,004,744

Collatz Trajectory (137 steps to reach 1)

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

9,004,744 4,502,372 2,251,186 1,125,593 3,376,780 1,688,390 844,195 2,532,586 1,266,293 3,798,880 1,899,440 949,720 474,860 237,430 118,715 356,146 178,073 534,220 267,110 133,555 400,666 200,333 601,000 300,500 150,250 75,125 225,376 112,688 56,344 28,172 14,086 7,043 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

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