220,592

2⁴ × 17 × 811

Starting at 220,592, the Collatz iteration reaches 1 after 62 steps. The first transition is 110296; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 811

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 453,096

Proper Divisor Sum 232,504

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #220589 ← → #220613

Radix Representation

Decimal	220592
Binary	110101110110110000 (18 bits)
Octal	0o656660
Hexadecimal	0x35DB0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 811 1,622 3,244 6,488 12,976 13,787 27,574 55,148 110,296 220,592

Collatz Trajectory (62 steps to reach 1)

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

220,592 110,296 55,148 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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