λ
Ratio Atlas

8,284,389

3 × 17 × 162439
Deficient Odd Composite

8,284,389 factors as 3 × 17 × 162439. Its 8 positive divisors give a proper-divisor sum of 3,411,291, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 17 × 162439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,695,680
Proper Divisor Sum 3,411,291
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8284379 ← → #8284391

Radix Representation

Decimal 8284389
Binary 11111100110100011100101 (23 bits)
Octal 0o37464345
Hexadecimal 0x7E68E5

Divisor Catalog (8)

1 3 17 51 162,439 487,317 2,761,463 8,284,389

Collatz Trajectory (137 steps to reach 1)

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

8,284,389 24,853,168 12,426,584 6,213,292 3,106,646 1,553,323 4,659,970 2,329,985 6,989,956 3,494,978 1,747,489 5,242,468 2,621,234 1,310,617 3,931,852 1,965,926 982,963 2,948,890 1,474,445 4,423,336 2,211,668 1,105,834 552,917 1,658,752 829,376 414,688 207,344 103,672 51,836 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292

More profiles

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