λ
Sequence Observatory

1,540,841

1540841
Deficient Odd Prime

Starting at 1,540,841, the Collatz iteration reaches 1 after 163 steps. The first transition is 4622524; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1540841
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,540,842
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1540831 ← → #1540849

Radix Representation

Decimal 1540841
Binary 101111000001011101001 (21 bits)
Octal 0o5701351
Hexadecimal 0x1782E9

Divisor Catalog (2)

1 1,540,841

Collatz Trajectory (163 steps to reach 1)

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

1,540,841 4,622,524 2,311,262 1,155,631 3,466,894 1,733,447 5,200,342 2,600,171 7,800,514 3,900,257 11,700,772 5,850,386 2,925,193 8,775,580 4,387,790 2,193,895 6,581,686 3,290,843 9,872,530 4,936,265 14,808,796 7,404,398 3,702,199 11,106,598 5,553,299 16,659,898 8,329,949 24,989,848 12,494,924 6,247,462 3,123,731 9,371,194 4,685,597 14,056,792 7,028,396 3,514,198 1,757,099 5,271,298 2,635,649 7,906,948 3,953,474 1,976,737 5,930,212 2,965,106 1,482,553 4,447,660 2,223,830 1,111,915 3,335,746 1,667,873 5,003,620 2,501,810 1,250,905 3,752,716 1,876,358 938,179 2,814,538 1,407,269 4,221,808 2,110,904

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