891,350

2 × 5² × 17827

891,350 factors as 2 × 5^2 × 17827. Its 12 positive divisors give a proper-divisor sum of 766,654, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,658,004

Proper Divisor Sum 766,654

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #891349 ← → #891377

Radix Representation

Decimal	891350
Binary	11011001100111010110 (20 bits)
Octal	0o3314726
Hexadecimal	0xD99D6

Divisor Catalog (12)

1 2 5 10 25 50 17,827 35,654 89,135 178,270 445,675 891,350

Collatz Trajectory (95 steps to reach 1)

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

891,350 445,675 1,337,026 668,513 2,005,540 1,002,770 501,385 1,504,156 752,078 376,039 1,128,118 564,059 1,692,178 846,089 2,538,268 1,269,134 634,567 1,903,702 951,851 2,855,554 1,427,777 4,283,332 2,141,666 1,070,833 3,212,500 1,606,250 803,125 2,409,376 1,204,688 602,344 301,172 150,586 75,293 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944

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