λ
Prime Ledger

161,223

3 × 61 × 881
Deficient Odd Composite

161,223 has the prime decomposition 3 × 61 × 881. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 218,736
Proper Divisor Sum 57,513
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #161221 ← → #161233

Radix Representation

Decimal 161223
Binary 100111010111000111 (18 bits)
Octal 0o472707
Hexadecimal 0x275C7

Divisor Catalog (8)

1 3 61 183 881 2,643 53,741 161,223

Collatz Trajectory (95 steps to reach 1)

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

161,223 483,670 241,835 725,506 362,753 1,088,260 544,130 272,065 816,196 408,098 204,049 612,148 306,074 153,037 459,112 229,556 114,778 57,389 172,168 86,084 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025

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