λ
Sequence Observatory

1,938,264

23 × 3 × 80761
Abundant Even Composite

Starting at 1,938,264, the Collatz iteration reaches 1 after 91 steps. The first transition is 969132; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 80761
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,845,720
Proper Divisor Sum 2,907,456
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1938257 ← → #1938269

Radix Representation

Decimal 1938264
Binary 111011001001101011000 (21 bits)
Octal 0o7311530
Hexadecimal 0x1D9358

Divisor Catalog (16)

1 2 3 4 6 8 12 24 80,761 161,522 242,283 323,044 484,566 646,088 969,132 1,938,264

Collatz Trajectory (91 steps to reach 1)

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

1,938,264 969,132 484,566 242,283 726,850 363,425 1,090,276 545,138 272,569 817,708 408,854 204,427 613,282 306,641 919,924 459,962 229,981 689,944 344,972 172,486 86,243 258,730 129,365 388,096 194,048 97,024 48,512 24,256 12,128 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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