λ
Sequence Observatory

3,133,559

11 × 13 × 17 × 1289
Deficient Odd Composite

Starting at 3,133,559, the Collatz iteration reaches 1 after 107 steps. The first transition is 9400678; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 17 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,900,960
Proper Divisor Sum 767,401
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3133547 ← → #3133583

Radix Representation

Decimal 3133559
Binary 1011111101000001110111 (22 bits)
Octal 0o13750167
Hexadecimal 0x2FD077

Divisor Catalog (16)

1 11 13 17 143 187 221 1,289 2,431 14,179 16,757 21,913 184,327 241,043 284,869 3,133,559

Collatz Trajectory (107 steps to reach 1)

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

3,133,559 9,400,678 4,700,339 14,101,018 7,050,509 21,151,528 10,575,764 5,287,882 2,643,941 7,931,824 3,965,912 1,982,956 991,478 495,739 1,487,218 743,609 2,230,828 1,115,414 557,707 1,673,122 836,561 2,509,684 1,254,842 627,421 1,882,264 941,132 470,566 235,283 705,850 352,925 1,058,776 529,388 264,694 132,347 397,042 198,521 595,564 297,782 148,891 446,674 223,337 670,012 335,006 167,503 502,510 251,255 753,766 376,883 1,130,650 565,325 1,695,976 847,988 423,994 211,997 635,992 317,996 158,998 79,499 238,498 119,249

More profiles

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