8,888,513

41 × 431 × 503

Starting at 8,888,513, the Collatz iteration reaches 1 after 168 steps. The first transition is 26665540; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 41 × 431 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,144,576

Proper Divisor Sum 256,063

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8888507 ← → #8888521

Radix Representation

Decimal	8888513
Binary	100001111010000011000001 (24 bits)
Octal	0o41720301
Hexadecimal	0x87A0C1

Divisor Catalog (8)

1 41 431 503 17,671 20,623 216,793 8,888,513

Collatz Trajectory (168 steps to reach 1)

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

8,888,513 26,665,540 13,332,770 6,666,385 19,999,156 9,999,578 4,999,789 14,999,368 7,499,684 3,749,842 1,874,921 5,624,764 2,812,382 1,406,191 4,218,574 2,109,287 6,327,862 3,163,931 9,491,794 4,745,897 14,237,692 7,118,846 3,559,423 10,678,270 5,339,135 16,017,406 8,008,703 24,026,110 12,013,055 36,039,166 18,019,583 54,058,750 27,029,375 81,088,126 40,544,063 121,632,190 60,816,095 182,448,286 91,224,143 273,672,430 136,836,215 410,508,646 205,254,323 615,762,970 307,881,485 923,644,456 461,822,228 230,911,114 115,455,557 346,366,672 173,183,336 86,591,668 43,295,834 21,647,917 64,943,752 32,471,876 16,235,938 8,117,969 24,353,908 12,176,954

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