λ
Sequence Observatory

9,075,486

2 × 3 × 72 × 30869
Abundant Even Composite

Starting at 9,075,486, the Collatz iteration reaches 1 after 132 steps. The first transition is 4537743; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 30869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,115,080
Proper Divisor Sum 12,039,594
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9075461 ← → #9075491

Radix Representation

Decimal 9075486
Binary 100010100111101100011110 (24 bits)
Octal 0o42475436
Hexadecimal 0x8A7B1E

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 30,869 61,738 92,607 185,214 216,083 432,166 648,249 1,296,498 1,512,581 3,025,162 4,537,743 9,075,486

Collatz Trajectory (132 steps to reach 1)

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

9,075,486 4,537,743 13,613,230 6,806,615 20,419,846 10,209,923 30,629,770 15,314,885 45,944,656 22,972,328 11,486,164 5,743,082 2,871,541 8,614,624 4,307,312 2,153,656 1,076,828 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161 45,484 22,742 11,371 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595

More profiles

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