λ
Sequence Observatory

6,552,762

2 × 3 × 1092127
Abundant Even Composite

Starting at 6,552,762, the Collatz iteration reaches 1 after 85 steps. The first transition is 3276381; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1092127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,105,536
Proper Divisor Sum 6,552,774
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6552731 ← → #6552773

Radix Representation

Decimal 6552762
Binary 11000111111110010111010 (23 bits)
Octal 0o30776272
Hexadecimal 0x63FCBA

Divisor Catalog (8)

1 2 3 6 1,092,127 2,184,254 3,276,381 6,552,762

Collatz Trajectory (85 steps to reach 1)

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

6,552,762 3,276,381 9,829,144 4,914,572 2,457,286 1,228,643 3,685,930 1,842,965 5,528,896 2,764,448 1,382,224 691,112 345,556 172,778 86,389 259,168 129,584 64,792 32,396 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

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