163,588

2² × 40897

Starting at 163,588, the Collatz iteration reaches 1 after 64 steps. The first transition is 81794; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 40897

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 286,286

Proper Divisor Sum 122,698

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #163573 ← → #163601

Radix Representation

Decimal	163588
Binary	100111111100000100 (18 bits)
Octal	0o477404
Hexadecimal	0x27F04

Divisor Catalog (6)

1 2 4 40,897 81,794 163,588

Collatz Trajectory (64 steps to reach 1)

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

163,588 81,794 40,897 122,692 61,346 30,673 92,020 46,010 23,005 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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