λ
Sequence Observatory

8,104,300

22 × 52 × 81043
Abundant Even Composite

Starting at 8,104,300, the Collatz iteration reaches 1 after 168 steps. The first transition is 4052150; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 81043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 17,586,548
Proper Divisor Sum 9,482,248
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #8104297 ← → #8104301

Radix Representation

Decimal 8104300
Binary 11110111010100101101100 (23 bits)
Octal 0o36724554
Hexadecimal 0x7BA96C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 81,043 162,086 324,172 405,215 810,430 1,620,860 2,026,075 4,052,150 8,104,300

Collatz Trajectory (168 steps to reach 1)

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

8,104,300 4,052,150 2,026,075 6,078,226 3,039,113 9,117,340 4,558,670 2,279,335 6,838,006 3,419,003 10,257,010 5,128,505 15,385,516 7,692,758 3,846,379 11,539,138 5,769,569 17,308,708 8,654,354 4,327,177 12,981,532 6,490,766 3,245,383 9,736,150 4,868,075 14,604,226 7,302,113 21,906,340 10,953,170 5,476,585 16,429,756 8,214,878 4,107,439 12,322,318 6,161,159 18,483,478 9,241,739 27,725,218 13,862,609 41,587,828 20,793,914 10,396,957 31,190,872 15,595,436 7,797,718 3,898,859 11,696,578 5,848,289 17,544,868 8,772,434 4,386,217 13,158,652 6,579,326 3,289,663 9,868,990 4,934,495 14,803,486 7,401,743 22,205,230 11,102,615

More profiles

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