λ
Sequence Observatory

1,010,543

43 × 71 × 331
Deficient Odd Composite

Starting at 1,010,543, the Collatz iteration reaches 1 after 183 steps. The first transition is 3031630; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 43 × 71 × 331
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,051,776
Proper Divisor Sum 41,233
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1010519 ← → #1010549

Radix Representation

Decimal 1010543
Binary 11110110101101101111 (20 bits)
Octal 0o3665557
Hexadecimal 0xF6B6F

Divisor Catalog (8)

1 43 71 331 3,053 14,233 23,501 1,010,543

Collatz Trajectory (183 steps to reach 1)

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

1,010,543 3,031,630 1,515,815 4,547,446 2,273,723 6,821,170 3,410,585 10,231,756 5,115,878 2,557,939 7,673,818 3,836,909 11,510,728 5,755,364 2,877,682 1,438,841 4,316,524 2,158,262 1,079,131 3,237,394 1,618,697 4,856,092 2,428,046 1,214,023 3,642,070 1,821,035 5,463,106 2,731,553 8,194,660 4,097,330 2,048,665 6,145,996 3,072,998 1,536,499 4,609,498 2,304,749 6,914,248 3,457,124 1,728,562 864,281 2,592,844 1,296,422 648,211 1,944,634 972,317 2,916,952 1,458,476 729,238 364,619 1,093,858 546,929 1,640,788 820,394 410,197 1,230,592 615,296 307,648 153,824 76,912 38,456

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