561,632

2⁵ × 17551

561,632 has the prime decomposition 2^5 × 17551. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17551

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,105,776

Proper Divisor Sum 544,144

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #561607 ← → #561667

Radix Representation

Decimal	561632
Binary	10001001000111100000 (20 bits)
Octal	0o2110740
Hexadecimal	0x891E0

Divisor Catalog (12)

1 2 4 8 16 32 17,551 35,102 70,204 140,408 280,816 561,632

Collatz Trajectory (146 steps to reach 1)

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

561,632 280,816 140,408 70,204 35,102 17,551 52,654 26,327 78,982 39,491 118,474 59,237 177,712 88,856 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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