λ
Sequence Observatory

2,049,022

2 × 1024511
Deficient Even Composite

Starting at 2,049,022, the Collatz iteration reaches 1 after 246 steps. The first transition is 1024511; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1024511
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,073,536
Proper Divisor Sum 1,024,514
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2048983 ← → #2049041

Radix Representation

Decimal 2049022
Binary 111110100001111111110 (21 bits)
Octal 0o7641776
Hexadecimal 0x1F43FE

Divisor Catalog (4)

1 2 1,024,511 2,049,022

Collatz Trajectory (246 steps to reach 1)

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

2,049,022 1,024,511 3,073,534 1,536,767 4,610,302 2,305,151 6,915,454 3,457,727 10,373,182 5,186,591 15,559,774 7,779,887 23,339,662 11,669,831 35,009,494 17,504,747 52,514,242 26,257,121 78,771,364 39,385,682 19,692,841 59,078,524 29,539,262 14,769,631 44,308,894 22,154,447 66,463,342 33,231,671 99,695,014 49,847,507 149,542,522 74,771,261 224,313,784 112,156,892 56,078,446 28,039,223 84,117,670 42,058,835 126,176,506 63,088,253 189,264,760 94,632,380 47,316,190 23,658,095 70,974,286 35,487,143 106,461,430 53,230,715 159,692,146 79,846,073 239,538,220 119,769,110 59,884,555 179,653,666 89,826,833 269,480,500 134,740,250 67,370,125 202,110,376 101,055,188

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