λ
Prime Ledger

187,178

2 × 31 × 3019
Deficient Even Composite

187,178 has the prime decomposition 2 × 31 × 3019. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 3019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 289,920
Proper Divisor Sum 102,742
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #187177 ← → #187181

Radix Representation

Decimal 187178
Binary 101101101100101010 (18 bits)
Octal 0o555452
Hexadecimal 0x2DB2A

Divisor Catalog (8)

1 2 31 62 3,019 6,038 93,589 187,178

Collatz Trajectory (147 steps to reach 1)

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

187,178 93,589 280,768 140,384 70,192 35,096 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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