λ
Sequence Observatory

3,022,337

401 × 7537
Deficient Odd Composite

Starting at 3,022,337, the Collatz iteration reaches 1 after 288 steps. The first transition is 9067012; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 401 × 7537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,030,276
Proper Divisor Sum 7,939
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3022309 ← → #3022339

Radix Representation

Decimal 3022337
Binary 1011100001111000000001 (22 bits)
Octal 0o13417001
Hexadecimal 0x2E1E01

Divisor Catalog (4)

1 401 7,537 3,022,337

Collatz Trajectory (288 steps to reach 1)

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

3,022,337 9,067,012 4,533,506 2,266,753 6,800,260 3,400,130 1,700,065 5,100,196 2,550,098 1,275,049 3,825,148 1,912,574 956,287 2,868,862 1,434,431 4,303,294 2,151,647 6,454,942 3,227,471 9,682,414 4,841,207 14,523,622 7,261,811 21,785,434 10,892,717 32,678,152 16,339,076 8,169,538 4,084,769 12,254,308 6,127,154 3,063,577 9,190,732 4,595,366 2,297,683 6,893,050 3,446,525 10,339,576 5,169,788 2,584,894 1,292,447 3,877,342 1,938,671 5,816,014 2,908,007 8,724,022 4,362,011 13,086,034 6,543,017 19,629,052 9,814,526 4,907,263 14,721,790 7,360,895 22,082,686 11,041,343 33,124,030 16,562,015 49,686,046 24,843,023

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