λ
Sequence Observatory

9,461,945

5 × 17 × 111317
Deficient Odd Composite

Starting at 9,461,945, the Collatz iteration reaches 1 after 124 steps. The first transition is 28385836; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 111317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,022,344
Proper Divisor Sum 2,560,399
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9461929 ← → #9461989

Radix Representation

Decimal 9461945
Binary 100100000110000010111001 (24 bits)
Octal 0o44060271
Hexadecimal 0x9060B9

Divisor Catalog (8)

1 5 17 85 111,317 556,585 1,892,389 9,461,945

Collatz Trajectory (124 steps to reach 1)

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

9,461,945 28,385,836 14,192,918 7,096,459 21,289,378 10,644,689 31,934,068 15,967,034 7,983,517 23,950,552 11,975,276 5,987,638 2,993,819 8,981,458 4,490,729 13,472,188 6,736,094 3,368,047 10,104,142 5,052,071 15,156,214 7,578,107 22,734,322 11,367,161 34,101,484 17,050,742 8,525,371 25,576,114 12,788,057 38,364,172 19,182,086 9,591,043 28,773,130 14,386,565 43,159,696 21,579,848 10,789,924 5,394,962 2,697,481 8,092,444 4,046,222 2,023,111 6,069,334 3,034,667 9,104,002 4,552,001 13,656,004 6,828,002 3,414,001 10,242,004 5,121,002 2,560,501 7,681,504 3,840,752 1,920,376 960,188 480,094 240,047 720,142 360,071

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