λ
Sequence Observatory

1,291,101

3 × 72 × 8783
Deficient Odd Composite

Starting at 1,291,101, the Collatz iteration reaches 1 after 98 steps. The first transition is 3873304; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 8783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,002,752
Proper Divisor Sum 711,651
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1291079 ← → #1291111

Radix Representation

Decimal 1291101
Binary 100111011001101011101 (21 bits)
Octal 0o4731535
Hexadecimal 0x13B35D

Divisor Catalog (12)

1 3 7 21 49 147 8,783 26,349 61,481 184,443 430,367 1,291,101

Collatz Trajectory (98 steps to reach 1)

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

1,291,101 3,873,304 1,936,652 968,326 484,163 1,452,490 726,245 2,178,736 1,089,368 544,684 272,342 136,171 408,514 204,257 612,772 306,386 153,193 459,580 229,790 114,895 344,686 172,343 517,030 258,515 775,546 387,773 1,163,320 581,660 290,830 145,415 436,246 218,123 654,370 327,185 981,556 490,778 245,389 736,168 368,084 184,042 92,021 276,064 138,032 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366

More profiles

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