λ
Sequence Observatory

411,779

411779
Deficient Odd Prime

Starting at 411,779, the Collatz iteration reaches 1 after 174 steps. The first transition is 1235338; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 411779
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 411,780
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #411751 ← → #411799

Radix Representation

Decimal 411779
Binary 1100100100010000011 (19 bits)
Octal 0o1444203
Hexadecimal 0x64883

Divisor Catalog (2)

Collatz Trajectory (174 steps to reach 1)

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

411,779 1,235,338 617,669 1,853,008 926,504 463,252 231,626 115,813 347,440 173,720 86,860 43,430 21,715 65,146 32,573 97,720 48,860 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436

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