λ
Sequence Observatory

1,215,467

11 × 47 × 2351
Deficient Odd Composite

Starting at 1,215,467, the Collatz iteration reaches 1 after 191 steps. The first transition is 3646402; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 47 × 2351
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,354,752
Proper Divisor Sum 139,285
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1215463 ← → #1215497

Radix Representation

Decimal 1215467
Binary 100101000101111101011 (21 bits)
Octal 0o4505753
Hexadecimal 0x128BEB

Divisor Catalog (8)

1 11 47 517 2,351 25,861 110,497 1,215,467

Collatz Trajectory (191 steps to reach 1)

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

1,215,467 3,646,402 1,823,201 5,469,604 2,734,802 1,367,401 4,102,204 2,051,102 1,025,551 3,076,654 1,538,327 4,614,982 2,307,491 6,922,474 3,461,237 10,383,712 5,191,856 2,595,928 1,297,964 648,982 324,491 973,474 486,737 1,460,212 730,106 365,053 1,095,160 547,580 273,790 136,895 410,686 205,343 616,030 308,015 924,046 462,023 1,386,070 693,035 2,079,106 1,039,553 3,118,660 1,559,330 779,665 2,338,996 1,169,498 584,749 1,754,248 877,124 438,562 219,281 657,844 328,922 164,461 493,384 246,692 123,346 61,673 185,020 92,510 46,255

More profiles

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