λ
Sequence Observatory

9,628,272

24 × 32 × 66863
Abundant Even Composite

Starting at 9,628,272, the Collatz iteration reaches 1 after 145 steps. The first transition is 4814136; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 66863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 26,946,192
Proper Divisor Sum 17,317,920
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9628253 ← → #9628303

Radix Representation

Decimal 9628272
Binary 100100101110101001110000 (24 bits)
Octal 0o44565160
Hexadecimal 0x92EA70

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 66,863 133,726 200,589 267,452 401,178 534,904 601,767 802,356 1,069,808 1,203,534 1,604,712 2,407,068 3,209,424 4,814,136 9,628,272

Collatz Trajectory (145 steps to reach 1)

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

9,628,272 4,814,136 2,407,068 1,203,534 601,767 1,805,302 902,651 2,707,954 1,353,977 4,061,932 2,030,966 1,015,483 3,046,450 1,523,225 4,569,676 2,284,838 1,142,419 3,427,258 1,713,629 5,140,888 2,570,444 1,285,222 642,611 1,927,834 963,917 2,891,752 1,445,876 722,938 361,469 1,084,408 542,204 271,102 135,551 406,654 203,327 609,982 304,991 914,974 457,487 1,372,462 686,231 2,058,694 1,029,347 3,088,042 1,544,021 4,632,064 2,316,032 1,158,016 579,008 289,504 144,752 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072

More profiles

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