λ
Sequence Observatory

3,219,638

2 × 29 × 55511
Deficient Even Composite

Starting at 3,219,638, the Collatz iteration reaches 1 after 208 steps. The first transition is 1609819; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 55511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,996,080
Proper Divisor Sum 1,776,442
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3219631 ← → #3219659

Radix Representation

Decimal 3219638
Binary 1100010010000010110110 (22 bits)
Octal 0o14220266
Hexadecimal 0x3120B6

Divisor Catalog (8)

1 2 29 58 55,511 111,022 1,609,819 3,219,638

Collatz Trajectory (208 steps to reach 1)

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

3,219,638 1,609,819 4,829,458 2,414,729 7,244,188 3,622,094 1,811,047 5,433,142 2,716,571 8,149,714 4,074,857 12,224,572 6,112,286 3,056,143 9,168,430 4,584,215 13,752,646 6,876,323 20,628,970 10,314,485 30,943,456 15,471,728 7,735,864 3,867,932 1,933,966 966,983 2,900,950 1,450,475 4,351,426 2,175,713 6,527,140 3,263,570 1,631,785 4,895,356 2,447,678 1,223,839 3,671,518 1,835,759 5,507,278 2,753,639 8,260,918 4,130,459 12,391,378 6,195,689 18,587,068 9,293,534 4,646,767 13,940,302 6,970,151 20,910,454 10,455,227 31,365,682 15,682,841 47,048,524 23,524,262 11,762,131 35,286,394 17,643,197 52,929,592 26,464,796

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