λ
Sequence Observatory

2,211,429

3 × 11 × 19 × 3527
Deficient Odd Composite

Starting at 2,211,429, the Collatz iteration reaches 1 after 60 steps. The first transition is 6634288; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 3527
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,386,880
Proper Divisor Sum 1,175,451
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2211413 ← → #2211439

Radix Representation

Decimal 2211429
Binary 1000011011111001100101 (22 bits)
Octal 0o10337145
Hexadecimal 0x21BE65

Divisor Catalog (16)

1 3 11 19 33 57 209 627 3,527 10,581 38,797 67,013 116,391 201,039 737,143 2,211,429

Collatz Trajectory (60 steps to reach 1)

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

2,211,429 6,634,288 3,317,144 1,658,572 829,286 414,643 1,243,930 621,965 1,865,896 932,948 466,474 233,237 699,712 349,856 174,928 87,464 43,732 21,866 10,933 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

More profiles

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