λ
Sequence Observatory

8,011,319

8011319
Deficient Odd Prime

Starting at 8,011,319, the Collatz iteration reaches 1 after 199 steps. The first transition is 24033958; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8011319
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,011,320
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8011303 ← → #8011343

Radix Representation

Decimal 8011319
Binary 11110100011111000110111 (23 bits)
Octal 0o36437067
Hexadecimal 0x7A3E37

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

8,011,319 24,033,958 12,016,979 36,050,938 18,025,469 54,076,408 27,038,204 13,519,102 6,759,551 20,278,654 10,139,327 30,417,982 15,208,991 45,626,974 22,813,487 68,440,462 34,220,231 102,660,694 51,330,347 153,991,042 76,995,521 230,986,564 115,493,282 57,746,641 173,239,924 86,619,962 43,309,981 129,929,944 64,964,972 32,482,486 16,241,243 48,723,730 24,361,865 73,085,596 36,542,798 18,271,399 54,814,198 27,407,099 82,221,298 41,110,649 123,331,948 61,665,974 30,832,987 92,498,962 46,249,481 138,748,444 69,374,222 34,687,111 104,061,334 52,030,667 156,092,002 78,046,001 234,138,004 117,069,002 58,534,501 175,603,504 87,801,752 43,900,876 21,950,438 10,975,219

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