λ
Sequence Observatory

445,006

2 × 101 × 2203
Deficient Even Composite

Starting at 445,006, the Collatz iteration reaches 1 after 156 steps. The first transition is 222503; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 2203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 674,424
Proper Divisor Sum 229,418
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #445001 ← → #445019

Radix Representation

Decimal 445006
Binary 1101100101001001110 (19 bits)
Octal 0o1545116
Hexadecimal 0x6CA4E

Divisor Catalog (8)

1 2 101 202 2,203 4,406 222,503 445,006

Collatz Trajectory (156 steps to reach 1)

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

445,006 222,503 667,510 333,755 1,001,266 500,633 1,501,900 750,950 375,475 1,126,426 563,213 1,689,640 844,820 422,410 211,205 633,616 316,808 158,404 79,202 39,601 118,804 59,402 29,701 89,104 44,552 22,276 11,138 5,569 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484

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