λ
Sequence Observatory

1,254,617

7 × 13 × 17 × 811
Deficient Odd Composite

Starting at 1,254,617, the Collatz iteration reaches 1 after 173 steps. The first transition is 3763852; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 17 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,636,992
Proper Divisor Sum 382,375
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1254613 ← → #1254619

Radix Representation

Decimal 1254617
Binary 100110010010011011001 (21 bits)
Octal 0o4622331
Hexadecimal 0x1324D9

Divisor Catalog (16)

1 7 13 17 91 119 221 811 1,547 5,677 10,543 13,787 73,801 96,509 179,231 1,254,617

Collatz Trajectory (173 steps to reach 1)

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

1,254,617 3,763,852 1,881,926 940,963 2,822,890 1,411,445 4,234,336 2,117,168 1,058,584 529,292 264,646 132,323 396,970 198,485 595,456 297,728 148,864 74,432 37,216 18,608 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

More profiles

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