λ
Sequence Observatory

9,538,056

23 × 32 × 11 × 12043
Abundant Even Composite

Starting at 9,538,056, the Collatz iteration reaches 1 after 163 steps. The first transition is 4769028; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 12043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,182,960
Proper Divisor Sum 18,644,904
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9538051 ← → #9538091

Radix Representation

Decimal 9538056
Binary 100100011000101000001000 (24 bits)
Octal 0o44305010
Hexadecimal 0x918A08

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 12,043 24,086 36,129 48,172 72,258 96,344 108,387 132,473 144,516 216,774 264,946 289,032 397,419 433,548 529,892 794,838 867,096 1,059,784 1,192,257 1,589,676 2,384,514 3,179,352 4,769,028 9,538,056

Collatz Trajectory (163 steps to reach 1)

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

9,538,056 4,769,028 2,384,514 1,192,257 3,576,772 1,788,386 894,193 2,682,580 1,341,290 670,645 2,011,936 1,005,968 502,984 251,492 125,746 62,873 188,620 94,310 47,155 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47

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