λ
Prime Ledger

871,615

5 × 47 × 3709
Deficient Odd Composite

871,615 has the prime decomposition 5 × 47 × 3709. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 47 × 3709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,068,480
Proper Divisor Sum 196,865
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #871613 ← → #871621

Radix Representation

Decimal 871615
Binary 11010100110010111111 (20 bits)
Octal 0o3246277
Hexadecimal 0xD4CBF

Divisor Catalog (8)

1 5 47 235 3,709 18,545 174,323 871,615

Collatz Trajectory (157 steps to reach 1)

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

871,615 2,614,846 1,307,423 3,922,270 1,961,135 5,883,406 2,941,703 8,825,110 4,412,555 13,237,666 6,618,833 19,856,500 9,928,250 4,964,125 14,892,376 7,446,188 3,723,094 1,861,547 5,584,642 2,792,321 8,376,964 4,188,482 2,094,241 6,282,724 3,141,362 1,570,681 4,712,044 2,356,022 1,178,011 3,534,034 1,767,017 5,301,052 2,650,526 1,325,263 3,975,790 1,987,895 5,963,686 2,981,843 8,945,530 4,472,765 13,418,296 6,709,148 3,354,574 1,677,287 5,031,862 2,515,931 7,547,794 3,773,897 11,321,692 5,660,846 2,830,423 8,491,270 4,245,635 12,736,906 6,368,453 19,105,360 9,552,680 4,776,340 2,388,170 1,194,085

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