λ
Sequence Observatory

1,226,904

23 × 3 × 7 × 67 × 109
Abundant Even Composite

Starting at 1,226,904, the Collatz iteration reaches 1 after 142 steps. The first transition is 613452; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 67 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,590,400
Proper Divisor Sum 2,363,496
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1226899 ← → #1226959

Radix Representation

Decimal 1226904
Binary 100101011100010011000 (21 bits)
Octal 0o4534230
Hexadecimal 0x12B898

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 109 134 168 201 218 268 327 402 436 469 536 654 763 804 872 938 1,308 1,407 1,526 1,608 1,876 2,289 2,616 2,814 3,052 3,752 4,578 5,628 6,104 7,303 9,156 11,256 14,606 18,312 21,909 29,212 43,818 51,121 58,424 87,636 102,242 153,363 175,272 204,484

Collatz Trajectory (142 steps to reach 1)

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

1,226,904 613,452 306,726 153,363 460,090 230,045 690,136 345,068 172,534 86,267 258,802 129,401 388,204 194,102 97,051 291,154 145,577 436,732 218,366 109,183 327,550 163,775 491,326 245,663 736,990 368,495 1,105,486 552,743 1,658,230 829,115 2,487,346 1,243,673 3,731,020 1,865,510 932,755 2,798,266 1,399,133 4,197,400 2,098,700 1,049,350 524,675 1,574,026 787,013 2,361,040 1,180,520 590,260 295,130 147,565 442,696 221,348 110,674 55,337 166,012 83,006 41,503 124,510 62,255 186,766 93,383 280,150

More profiles

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