λ
Sequence Observatory

5,161,086

2 × 32 × 7 × 40961
Abundant Even Composite

Starting at 5,161,086, the Collatz iteration reaches 1 after 232 steps. The first transition is 2580543; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 40961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,780,144
Proper Divisor Sum 7,619,058
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5161073 ← → #5161099

Radix Representation

Decimal 5161086
Binary 10011101100000001111110 (23 bits)
Octal 0o23540176
Hexadecimal 0x4EC07E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 40,961 81,922 122,883 245,766 286,727 368,649 573,454 737,298 860,181 1,720,362 2,580,543 5,161,086

Collatz Trajectory (232 steps to reach 1)

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

5,161,086 2,580,543 7,741,630 3,870,815 11,612,446 5,806,223 17,418,670 8,709,335 26,128,006 13,064,003 39,192,010 19,596,005 58,788,016 29,394,008 14,697,004 7,348,502 3,674,251 11,022,754 5,511,377 16,534,132 8,267,066 4,133,533 12,400,600 6,200,300 3,100,150 1,550,075 4,650,226 2,325,113 6,975,340 3,487,670 1,743,835 5,231,506 2,615,753 7,847,260 3,923,630 1,961,815 5,885,446 2,942,723 8,828,170 4,414,085 13,242,256 6,621,128 3,310,564 1,655,282 827,641 2,482,924 1,241,462 620,731 1,862,194 931,097 2,793,292 1,396,646 698,323 2,094,970 1,047,485 3,142,456 1,571,228 785,614 392,807 1,178,422

More profiles

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