λ
Sequence Observatory

6,408,267

3 × 89 × 24001
Deficient Odd Composite

Starting at 6,408,267, the Collatz iteration reaches 1 after 121 steps. The first transition is 19224802; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 89 × 24001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,640,720
Proper Divisor Sum 2,232,453
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6408257 ← → #6408277

Radix Representation

Decimal 6408267
Binary 11000011100100001001011 (23 bits)
Octal 0o30344113
Hexadecimal 0x61C84B

Divisor Catalog (8)

1 3 89 267 24,001 72,003 2,136,089 6,408,267

Collatz Trajectory (121 steps to reach 1)

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

6,408,267 19,224,802 9,612,401 28,837,204 14,418,602 7,209,301 21,627,904 10,813,952 5,406,976 2,703,488 1,351,744 675,872 337,936 168,968 84,484 42,242 21,121 63,364 31,682 15,841 47,524 23,762 11,881 35,644 17,822 8,911 26,734 13,367 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132

More profiles

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