λ
Sequence Observatory

4,517,882

2 × 1427 × 1583
Deficient Even Composite

Starting at 4,517,882, the Collatz iteration reaches 1 after 193 steps. The first transition is 2258941; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1427 × 1583
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,785,856
Proper Divisor Sum 2,267,974
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4517873 ← → #4517893

Radix Representation

Decimal 4517882
Binary 10001001110111111111010 (23 bits)
Octal 0o21167772
Hexadecimal 0x44EFFA

Divisor Catalog (8)

1 2 1,427 1,583 2,854 3,166 2,258,941 4,517,882

Collatz Trajectory (193 steps to reach 1)

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

4,517,882 2,258,941 6,776,824 3,388,412 1,694,206 847,103 2,541,310 1,270,655 3,811,966 1,905,983 5,717,950 2,858,975 8,576,926 4,288,463 12,865,390 6,432,695 19,298,086 9,649,043 28,947,130 14,473,565 43,420,696 21,710,348 10,855,174 5,427,587 16,282,762 8,141,381 24,424,144 12,212,072 6,106,036 3,053,018 1,526,509 4,579,528 2,289,764 1,144,882 572,441 1,717,324 858,662 429,331 1,287,994 643,997 1,931,992 965,996 482,998 241,499 724,498 362,249 1,086,748 543,374 271,687 815,062 407,531 1,222,594 611,297 1,833,892 916,946 458,473 1,375,420 687,710 343,855 1,031,566

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