λ
Sequence Observatory

1,214,461

19 × 41 × 1559
Deficient Odd Composite

Starting at 1,214,461, the Collatz iteration reaches 1 after 204 steps. The first transition is 3643384; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 41 × 1559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,310,400
Proper Divisor Sum 95,939
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1214459 ← → #1214471

Radix Representation

Decimal 1214461
Binary 100101000011111111101 (21 bits)
Octal 0o4503775
Hexadecimal 0x1287FD

Divisor Catalog (8)

1 19 41 779 1,559 29,621 63,919 1,214,461

Collatz Trajectory (204 steps to reach 1)

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

1,214,461 3,643,384 1,821,692 910,846 455,423 1,366,270 683,135 2,049,406 1,024,703 3,074,110 1,537,055 4,611,166 2,305,583 6,916,750 3,458,375 10,375,126 5,187,563 15,562,690 7,781,345 23,344,036 11,672,018 5,836,009 17,508,028 8,754,014 4,377,007 13,131,022 6,565,511 19,696,534 9,848,267 29,544,802 14,772,401 44,317,204 22,158,602 11,079,301 33,237,904 16,618,952 8,309,476 4,154,738 2,077,369 6,232,108 3,116,054 1,558,027 4,674,082 2,337,041 7,011,124 3,505,562 1,752,781 5,258,344 2,629,172 1,314,586 657,293 1,971,880 985,940 492,970 246,485 739,456 369,728 184,864 92,432 46,216

More profiles

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