λ
Sequence Observatory

3,542,550

2 × 3 × 52 × 11 × 19 × 113
Abundant Even Composite

Starting at 3,542,550, the Collatz iteration reaches 1 after 97 steps. The first transition is 1771275; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 19 × 113
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,177,920
Proper Divisor Sum 6,635,370
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3542549 ← → #3542551

Radix Representation

Decimal 3542550
Binary 1101100000111000010110 (22 bits)
Octal 0o15407026
Hexadecimal 0x360E16

Divisor Catalog (60 of 96)

1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 113 114 150 165 190 209 226 275 285 330 339 418 475 550 565 570 627 678 825 950 1,045 1,130 1,243 1,254 1,425 1,650 1,695 2,090 2,147 2,486 2,825 2,850 3,135 3,390 3,729 4,294 5,225 5,650 6,215

Collatz Trajectory (97 steps to reach 1)

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

3,542,550 1,771,275 5,313,826 2,656,913 7,970,740 3,985,370 1,992,685 5,978,056 2,989,028 1,494,514 747,257 2,241,772 1,120,886 560,443 1,681,330 840,665 2,521,996 1,260,998 630,499 1,891,498 945,749 2,837,248 1,418,624 709,312 354,656 177,328 88,664 44,332 22,166 11,083 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628

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