λ
Sequence Observatory

8,077,296

24 × 3 × 168277
Abundant Even Composite

Starting at 8,077,296, the Collatz iteration reaches 1 after 230 steps. The first transition is 4038648; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 168277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,866,472
Proper Divisor Sum 12,789,176
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8077271 ← → #8077339

Radix Representation

Decimal 8077296
Binary 11110110011111111110000 (23 bits)
Octal 0o36637760
Hexadecimal 0x7B3FF0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 168,277 336,554 504,831 673,108 1,009,662 1,346,216 2,019,324 2,692,432 4,038,648 8,077,296

Collatz Trajectory (230 steps to reach 1)

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

8,077,296 4,038,648 2,019,324 1,009,662 504,831 1,514,494 757,247 2,271,742 1,135,871 3,407,614 1,703,807 5,111,422 2,555,711 7,667,134 3,833,567 11,500,702 5,750,351 17,251,054 8,625,527 25,876,582 12,938,291 38,814,874 19,407,437 58,222,312 29,111,156 14,555,578 7,277,789 21,833,368 10,916,684 5,458,342 2,729,171 8,187,514 4,093,757 12,281,272 6,140,636 3,070,318 1,535,159 4,605,478 2,302,739 6,908,218 3,454,109 10,362,328 5,181,164 2,590,582 1,295,291 3,885,874 1,942,937 5,828,812 2,914,406 1,457,203 4,371,610 2,185,805 6,557,416 3,278,708 1,639,354 819,677 2,459,032 1,229,516 614,758 307,379

More profiles

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