λ
Prime Ledger

178,149

3 × 43 × 1381
Deficient Odd Composite

178,149 has the prime decomposition 3 × 43 × 1381. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 43 × 1381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 243,232
Proper Divisor Sum 65,083
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #178141 ← → #178151

Radix Representation

Decimal 178149
Binary 101011011111100101 (18 bits)
Octal 0o533745
Hexadecimal 0x2B7E5

Divisor Catalog (8)

1 3 43 129 1,381 4,143 59,383 178,149

Collatz Trajectory (72 steps to reach 1)

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

178,149 534,448 267,224 133,612 66,806 33,403 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34

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