220,544

2⁷ × 1723

Starting at 220,544, the Collatz iteration reaches 1 after 62 steps. The first transition is 110272; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 1723

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 439,620

Proper Divisor Sum 219,076

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #220543 ← → #220553

Radix Representation

Decimal	220544
Binary	110101110110000000 (18 bits)
Octal	0o656600
Hexadecimal	0x35D80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 1,723 3,446 6,892 13,784 27,568 55,136 110,272 220,544

Collatz Trajectory (62 steps to reach 1)

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

220,544 110,272 55,136 27,568 13,784 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 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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