λ
Sequence Observatory

8,843,583

3 × 7 × 421123
Deficient Odd Composite

Starting at 8,843,583, the Collatz iteration reaches 1 after 199 steps. The first transition is 26530750; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 421123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,475,968
Proper Divisor Sum 4,632,385
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8843573 ← → #8843591

Radix Representation

Decimal 8843583
Binary 100001101111000100111111 (24 bits)
Octal 0o41570477
Hexadecimal 0x86F13F

Divisor Catalog (8)

1 3 7 21 421,123 1,263,369 2,947,861 8,843,583

Collatz Trajectory (199 steps to reach 1)

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

8,843,583 26,530,750 13,265,375 39,796,126 19,898,063 59,694,190 29,847,095 89,541,286 44,770,643 134,311,930 67,155,965 201,467,896 100,733,948 50,366,974 25,183,487 75,550,462 37,775,231 113,325,694 56,662,847 169,988,542 84,994,271 254,982,814 127,491,407 382,474,222 191,237,111 573,711,334 286,855,667 860,567,002 430,283,501 1,290,850,504 645,425,252 322,712,626 161,356,313 484,068,940 242,034,470 121,017,235 363,051,706 181,525,853 544,577,560 272,288,780 136,144,390 68,072,195 204,216,586 102,108,293 306,324,880 153,162,440 76,581,220 38,290,610 19,145,305 57,435,916 28,717,958 14,358,979 43,076,938 21,538,469 64,615,408 32,307,704 16,153,852 8,076,926 4,038,463 12,115,390

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