λ
Sequence Observatory

2,252,126

2 × 17 × 66239
Deficient Even Composite

Starting at 2,252,126, the Collatz iteration reaches 1 after 91 steps. The first transition is 1126063; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 66239
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,576,960
Proper Divisor Sum 1,324,834
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2252113 ← → #2252149

Radix Representation

Decimal 2252126
Binary 1000100101110101011110 (22 bits)
Octal 0o10456536
Hexadecimal 0x225D5E

Divisor Catalog (8)

1 2 17 34 66,239 132,478 1,126,063 2,252,126

Collatz Trajectory (91 steps to reach 1)

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

2,252,126 1,126,063 3,378,190 1,689,095 5,067,286 2,533,643 7,600,930 3,800,465 11,401,396 5,700,698 2,850,349 8,551,048 4,275,524 2,137,762 1,068,881 3,206,644 1,603,322 801,661 2,404,984 1,202,492 601,246 300,623 901,870 450,935 1,352,806 676,403 2,029,210 1,014,605 3,043,816 1,521,908 760,954 380,477 1,141,432 570,716 285,358 142,679 428,038 214,019 642,058 321,029 963,088 481,544 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285

More profiles

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