λ
Sequence Observatory

6,001,609

6001609
Deficient Odd Prime

Starting at 6,001,609, the Collatz iteration reaches 1 after 139 steps. The first transition is 18004828; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6001609
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,001,610
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6001601 ← → #6001613

Radix Representation

Decimal 6001609
Binary 10110111001001111001001 (23 bits)
Octal 0o26711711
Hexadecimal 0x5B93C9

Divisor Catalog (2)

Collatz Trajectory (139 steps to reach 1)

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

6,001,609 18,004,828 9,002,414 4,501,207 13,503,622 6,751,811 20,255,434 10,127,717 30,383,152 15,191,576 7,595,788 3,797,894 1,898,947 5,696,842 2,848,421 8,545,264 4,272,632 2,136,316 1,068,158 534,079 1,602,238 801,119 2,403,358 1,201,679 3,605,038 1,802,519 5,407,558 2,703,779 8,111,338 4,055,669 12,167,008 6,083,504 3,041,752 1,520,876 760,438 380,219 1,140,658 570,329 1,710,988 855,494 427,747 1,283,242 641,621 1,924,864 962,432 481,216 240,608 120,304 60,152 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069

More profiles

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