λ
Prime Ledger

71,795

5 × 83 × 173
Deficient Odd Composite

71,795 has the prime decomposition 5 × 83 × 173. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 83 × 173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 87,696
Proper Divisor Sum 15,901
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #71789 ← → #71807

Radix Representation

Decimal 71795
Binary 10001100001110011 (17 bits)
Octal 0o214163
Hexadecimal 0x11873

Divisor Catalog (8)

1 5 83 173 415 865 14,359 71,795

Collatz Trajectory (174 steps to reach 1)

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

71,795 215,386 107,693 323,080 161,540 80,770 40,385 121,156 60,578 30,289 90,868 45,434 22,717 68,152 34,076 17,038 8,519 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402

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