λ
Sequence Observatory

674,093

72 × 13757
Deficient Odd Composite

Starting at 674,093, the Collatz iteration reaches 1 after 110 steps. The first transition is 2022280; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 13757
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 784,206
Proper Divisor Sum 110,113
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #674083 ← → #674099

Radix Representation

Decimal 674093
Binary 10100100100100101101 (20 bits)
Octal 0o2444455
Hexadecimal 0xA492D

Divisor Catalog (6)

1 7 49 13,757 96,299 674,093

Collatz Trajectory (110 steps to reach 1)

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

674,093 2,022,280 1,011,140 505,570 252,785 758,356 379,178 189,589 568,768 284,384 142,192 71,096 35,548 17,774 8,887 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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