5,211,622

2 × 13² × 17 × 907

Starting at 5,211,622, the Collatz iteration reaches 1 after 219 steps. The first transition is 2605811; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 17 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,972,856

Proper Divisor Sum 3,761,234

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5211607 ← → #5211623

Radix Representation

Decimal	5211622
Binary	10011111000010111100110 (23 bits)
Octal	0o23702746
Hexadecimal	0x4F85E6

Divisor Catalog (24)

1 2 13 17 26 34 169 221 338 442 907 1,814 2,873 5,746 11,791 15,419 23,582 30,838 153,283 200,447 306,566 400,894 2,605,811 5,211,622

Collatz Trajectory (219 steps to reach 1)

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

5,211,622 2,605,811 7,817,434 3,908,717 11,726,152 5,863,076 2,931,538 1,465,769 4,397,308 2,198,654 1,099,327 3,297,982 1,648,991 4,946,974 2,473,487 7,420,462 3,710,231 11,130,694 5,565,347 16,696,042 8,348,021 25,044,064 12,522,032 6,261,016 3,130,508 1,565,254 782,627 2,347,882 1,173,941 3,521,824 1,760,912 880,456 440,228 220,114 110,057 330,172 165,086 82,543 247,630 123,815 371,446 185,723 557,170 278,585 835,756 417,878 208,939 626,818 313,409 940,228 470,114 235,057 705,172 352,586 176,293 528,880 264,440 132,220 66,110 33,055

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