λ
Sequence Observatory

658,969

658969
Deficient Odd Prime

Starting at 658,969, the Collatz iteration reaches 1 after 123 steps. The first transition is 1976908; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 658969
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 658,970
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #658963 ← → #658979

Radix Representation

Decimal 658969
Binary 10100000111000011001 (20 bits)
Octal 0o2407031
Hexadecimal 0xA0E19

Divisor Catalog (2)

Collatz Trajectory (123 steps to reach 1)

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

658,969 1,976,908 988,454 494,227 1,482,682 741,341 2,224,024 1,112,012 556,006 278,003 834,010 417,005 1,251,016 625,508 312,754 156,377 469,132 234,566 117,283 351,850 175,925 527,776 263,888 131,944 65,972 32,986 16,493 49,480 24,740 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090

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