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45,309,744

24 × 32 × 314651
Abundant Even Composite

45,309,744 factors as 2^4 × 3^2 × 314651. Its 30 positive divisors give a proper-divisor sum of 81,495,012, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 314651
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 126,804,756
Proper Divisor Sum 81,495,012
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45309707 ← → #45309757

Radix Representation

Decimal 45309744
Binary 10101100110101111100110000 (26 bits)
Octal 0o254657460
Hexadecimal 0x2B35F30

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 314,651 629,302 943,953 1,258,604 1,887,906 2,517,208 2,831,859 3,775,812 5,034,416 5,663,718 7,551,624 11,327,436 15,103,248 22,654,872 45,309,744

Collatz Trajectory (142 steps to reach 1)

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

45,309,744 22,654,872 11,327,436 5,663,718 2,831,859 8,495,578 4,247,789 12,743,368 6,371,684 3,185,842 1,592,921 4,778,764 2,389,382 1,194,691 3,584,074 1,792,037 5,376,112 2,688,056 1,344,028 672,014 336,007 1,008,022 504,011 1,512,034 756,017 2,268,052 1,134,026 567,013 1,701,040 850,520 425,260 212,630 106,315 318,946 159,473 478,420 239,210 119,605 358,816 179,408 89,704 44,852 22,426 11,213 33,640 16,820 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990

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