886,304

2⁵ × 27697

886,304 factors as 2^5 × 27697. Its 12 positive divisors give a proper-divisor sum of 858,670, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^5 × 27697

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,744,974

Proper Divisor Sum 858,670

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #886283 ← → #886307

Radix Representation

Decimal	886304
Binary	11011000011000100000 (20 bits)
Octal	0o3303040
Hexadecimal	0xD8620

Divisor Catalog (12)

1 2 4 8 16 32 27,697 55,394 110,788 221,576 443,152 886,304

Collatz Trajectory (95 steps to reach 1)

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

886,304 443,152 221,576 110,788 55,394 27,697 83,092 41,546 20,773 62,320 31,160 15,580 7,790 3,895 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157

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