λ
Sequence Observatory

2,879,057

67 × 97 × 443
Deficient Odd Composite

Starting at 2,879,057, the Collatz iteration reaches 1 after 125 steps. The first transition is 8637172; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 67 × 97 × 443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,958,816
Proper Divisor Sum 79,759
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2879053 ← → #2879083

Radix Representation

Decimal 2879057
Binary 1010111110111001010001 (22 bits)
Octal 0o12767121
Hexadecimal 0x2BEE51

Divisor Catalog (8)

1 67 97 443 6,499 29,681 42,971 2,879,057

Collatz Trajectory (125 steps to reach 1)

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

2,879,057 8,637,172 4,318,586 2,159,293 6,477,880 3,238,940 1,619,470 809,735 2,429,206 1,214,603 3,643,810 1,821,905 5,465,716 2,732,858 1,366,429 4,099,288 2,049,644 1,024,822 512,411 1,537,234 768,617 2,305,852 1,152,926 576,463 1,729,390 864,695 2,594,086 1,297,043 3,891,130 1,945,565 5,836,696 2,918,348 1,459,174 729,587 2,188,762 1,094,381 3,283,144 1,641,572 820,786 410,393 1,231,180 615,590 307,795 923,386 461,693 1,385,080 692,540 346,270 173,135 519,406 259,703 779,110 389,555 1,168,666 584,333 1,753,000 876,500 438,250 219,125 657,376

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