λ
Sequence Observatory

1,406,809

131 × 10739
Deficient Odd Composite

Starting at 1,406,809, the Collatz iteration reaches 1 after 168 steps. The first transition is 4220428; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 131 × 10739
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,417,680
Proper Divisor Sum 10,871
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1406807 ← → #1406827

Radix Representation

Decimal 1406809
Binary 101010111011101011001 (21 bits)
Octal 0o5273531
Hexadecimal 0x157759

Divisor Catalog (4)

1 131 10,739 1,406,809

Collatz Trajectory (168 steps to reach 1)

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

1,406,809 4,220,428 2,110,214 1,055,107 3,165,322 1,582,661 4,747,984 2,373,992 1,186,996 593,498 296,749 890,248 445,124 222,562 111,281 333,844 166,922 83,461 250,384 125,192 62,596 31,298 15,649 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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