550,940

2² × 5 × 13² × 163

Starting at 550,940, the Collatz iteration reaches 1 after 177 steps. The first transition is 275470; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,260,504

Proper Divisor Sum 709,564

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #550939 ← → #550951

Radix Representation

Decimal	550940
Binary	10000110100000011100 (20 bits)
Octal	0o2064034
Hexadecimal	0x8681C

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 163 169 260 326 338 652 676 815 845 1,630 1,690 2,119 3,260 3,380 4,238 8,476 10,595 21,190 27,547 42,380 55,094 110,188 137,735 275,470 550,940

Collatz Trajectory (177 steps to reach 1)

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

550,940 275,470 137,735 413,206 206,603 619,810 309,905 929,716 464,858 232,429 697,288 348,644 174,322 87,161 261,484 130,742 65,371 196,114 98,057 294,172 147,086 73,543 220,630 110,315 330,946 165,473 496,420 248,210 124,105 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496

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