λ
Sequence Observatory

9,201,354

2 × 3 × 89 × 17231
Abundant Even Composite

Starting at 9,201,354, the Collatz iteration reaches 1 after 101 steps. The first transition is 4600677; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 17231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,610,560
Proper Divisor Sum 9,409,206
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9201341 ← → #9201391

Radix Representation

Decimal 9201354
Binary 100011000110011011001010 (24 bits)
Octal 0o43063312
Hexadecimal 0x8C66CA

Divisor Catalog (16)

1 2 3 6 89 178 267 534 17,231 34,462 51,693 103,386 1,533,559 3,067,118 4,600,677 9,201,354

Collatz Trajectory (101 steps to reach 1)

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

9,201,354 4,600,677 13,802,032 6,901,016 3,450,508 1,725,254 862,627 2,587,882 1,293,941 3,881,824 1,940,912 970,456 485,228 242,614 121,307 363,922 181,961 545,884 272,942 136,471 409,414 204,707 614,122 307,061 921,184 460,592 230,296 115,148 57,574 28,787 86,362 43,181 129,544 64,772 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

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