λ
Sequence Observatory

9,103,578

2 × 3 × 11 × 137933
Abundant Even Composite

Starting at 9,103,578, the Collatz iteration reaches 1 after 132 steps. The first transition is 4551789; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 137933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,862,496
Proper Divisor Sum 10,758,918
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9103541 ← → #9103609

Radix Representation

Decimal 9103578
Binary 100010101110100011011010 (24 bits)
Octal 0o42564332
Hexadecimal 0x8AE8DA

Divisor Catalog (16)

1 2 3 6 11 22 33 66 137,933 275,866 413,799 827,598 1,517,263 3,034,526 4,551,789 9,103,578

Collatz Trajectory (132 steps to reach 1)

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

9,103,578 4,551,789 13,655,368 6,827,684 3,413,842 1,706,921 5,120,764 2,560,382 1,280,191 3,840,574 1,920,287 5,760,862 2,880,431 8,641,294 4,320,647 12,961,942 6,480,971 19,442,914 9,721,457 29,164,372 14,582,186 7,291,093 21,873,280 10,936,640 5,468,320 2,734,160 1,367,080 683,540 341,770 170,885 512,656 256,328 128,164 64,082 32,041 96,124 48,062 24,031 72,094 36,047 108,142 54,071 162,214 81,107 243,322 121,661 364,984 182,492 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743

More profiles

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