2,122,450

2 × 5² × 11 × 17 × 227

Starting at 2,122,450, the Collatz iteration reaches 1 after 73 steps. The first transition is 1061225; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 17 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,580,064

Proper Divisor Sum 2,457,614

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2122441 ← → #2122451

Radix Representation

Decimal	2122450
Binary	1000000110001011010010 (22 bits)
Octal	0o10061322
Hexadecimal	0x2062D2

Divisor Catalog (48)

1 2 5 10 11 17 22 25 34 50 55 85 110 170 187 227 275 374 425 454 550 850 935 1,135 1,870 2,270 2,497 3,859 4,675 4,994 5,675 7,718 9,350 11,350 12,485 19,295 24,970 38,590 42,449 62,425 84,898 96,475 124,850 192,950 212,245 424,490 1,061,225 2,122,450

Collatz Trajectory (73 steps to reach 1)

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

2,122,450 1,061,225 3,183,676 1,591,838 795,919 2,387,758 1,193,879 3,581,638 1,790,819 5,372,458 2,686,229 8,058,688 4,029,344 2,014,672 1,007,336 503,668 251,834 125,917 377,752 188,876 94,438 47,219 141,658 70,829 212,488 106,244 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11

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