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5,651,872

25 × 239 × 739
Deficient Even Composite

5,651,872 factors as 2^5 × 239 × 739. Its 24 positive divisors give a proper-divisor sum of 5,536,928, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^5 × 239 × 739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,188,800
Proper Divisor Sum 5,536,928
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5651869 ← → #5651887

Radix Representation

Decimal 5651872
Binary 10101100011110110100000 (23 bits)
Octal 0o25436640
Hexadecimal 0x563DA0

Divisor Catalog (24)

1 2 4 8 16 32 239 478 739 956 1,478 1,912 2,956 3,824 5,912 7,648 11,824 23,648 176,621 353,242 706,484 1,412,968 2,825,936 5,651,872

Collatz Trajectory (126 steps to reach 1)

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

5,651,872 2,825,936 1,412,968 706,484 353,242 176,621 529,864 264,932 132,466 66,233 198,700 99,350 49,675 149,026 74,513 223,540 111,770 55,885 167,656 83,828 41,914 20,957 62,872 31,436 15,718 7,859 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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