λ
Sequence Observatory

9,441,030

2 × 3 × 5 × 389 × 809
Abundant Even Composite

Starting at 9,441,030, the Collatz iteration reaches 1 after 101 steps. The first transition is 4720515; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 389 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,744,800
Proper Divisor Sum 13,303,770
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9441023 ← → #9441071

Radix Representation

Decimal 9441030
Binary 100100000000111100000110 (24 bits)
Octal 0o44007406
Hexadecimal 0x900F06

Divisor Catalog (32)

1 2 3 5 6 10 15 30 389 778 809 1,167 1,618 1,945 2,334 2,427 3,890 4,045 4,854 5,835 8,090 11,670 12,135 24,270 314,701 629,402 944,103 1,573,505 1,888,206 3,147,010 4,720,515 9,441,030

Collatz Trajectory (101 steps to reach 1)

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

9,441,030 4,720,515 14,161,546 7,080,773 21,242,320 10,621,160 5,310,580 2,655,290 1,327,645 3,982,936 1,991,468 995,734 497,867 1,493,602 746,801 2,240,404 1,120,202 560,101 1,680,304 840,152 420,076 210,038 105,019 315,058 157,529 472,588 236,294 118,147 354,442 177,221 531,664 265,832 132,916 66,458 33,229 99,688 49,844 24,922 12,461 37,384 18,692 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278

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