λ
Prime Ledger

87,159

3 × 17 × 1709
Deficient Odd Composite

87,159 has the prime decomposition 3 × 17 × 1709. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 123,120
Proper Divisor Sum 35,961
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #87151 ← → #87179

Radix Representation

Decimal 87159
Binary 10101010001110111 (17 bits)
Octal 0o252167
Hexadecimal 0x15477

Divisor Catalog (8)

1 3 17 51 1,709 5,127 29,053 87,159

Collatz Trajectory (71 steps to reach 1)

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

87,159 261,478 130,739 392,218 196,109 588,328 294,164 147,082 73,541 220,624 110,312 55,156 27,578 13,789 41,368 20,684 10,342 5,171 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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