λ
Sequence Observatory

8,508,882

2 × 3 × 1418147
Abundant Even Composite

Starting at 8,508,882, the Collatz iteration reaches 1 after 106 steps. The first transition is 4254441; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1418147
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,017,776
Proper Divisor Sum 8,508,894
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8508881 ← → #8508893

Radix Representation

Decimal 8508882
Binary 100000011101010111010010 (24 bits)
Octal 0o40352722
Hexadecimal 0x81D5D2

Divisor Catalog (8)

1 2 3 6 1,418,147 2,836,294 4,254,441 8,508,882

Collatz Trajectory (106 steps to reach 1)

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

8,508,882 4,254,441 12,763,324 6,381,662 3,190,831 9,572,494 4,786,247 14,358,742 7,179,371 21,538,114 10,769,057 32,307,172 16,153,586 8,076,793 24,230,380 12,115,190 6,057,595 18,172,786 9,086,393 27,259,180 13,629,590 6,814,795 20,444,386 10,222,193 30,666,580 15,333,290 7,666,645 22,999,936 11,499,968 5,749,984 2,874,992 1,437,496 718,748 359,374 179,687 539,062 269,531 808,594 404,297 1,212,892 606,446 303,223 909,670 454,835 1,364,506 682,253 2,046,760 1,023,380 511,690 255,845 767,536 383,768 191,884 95,942 47,971 143,914 71,957 215,872 107,936 53,968

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