λ
Sequence Observatory

9,095,436

22 × 33 × 7 × 53 × 227
Abundant Even Composite

Starting at 9,095,436, the Collatz iteration reaches 1 after 119 steps. The first transition is 4547718; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 53 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 27,578,880
Proper Divisor Sum 18,483,444
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9095423 ← → #9095441

Radix Representation

Decimal 9095436
Binary 100010101100100100001100 (24 bits)
Octal 0o42544414
Hexadecimal 0x8AC90C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 227 252 318 371 378 454 477 636 681 742 756 908 954 1,113 1,362 1,431 1,484 1,589 1,908 2,043 2,226 2,724 2,862 3,178 3,339 4,086 4,452 4,767 5,724 6,129 6,356 6,678 8,172 9,534 10,017

Collatz Trajectory (119 steps to reach 1)

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

9,095,436 4,547,718 2,273,859 6,821,578 3,410,789 10,232,368 5,116,184 2,558,092 1,279,046 639,523 1,918,570 959,285 2,877,856 1,438,928 719,464 359,732 179,866 89,933 269,800 134,900 67,450 33,725 101,176 50,588 25,294 12,647 37,942 18,971 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603

More profiles

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