λ
Sequence Observatory

9,076,386

2 × 3 × 11 × 113 × 1217
Abundant Even Composite

Starting at 9,076,386, the Collatz iteration reaches 1 after 225 steps. The first transition is 4538193; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 113 × 1217
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,994,688
Proper Divisor Sum 10,918,302
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9076367 ← → #9076399

Radix Representation

Decimal 9076386
Binary 100010100111111010100010 (24 bits)
Octal 0o42477242
Hexadecimal 0x8A7EA2

Divisor Catalog (32)

1 2 3 6 11 22 33 66 113 226 339 678 1,217 1,243 2,434 2,486 3,651 3,729 7,302 7,458 13,387 26,774 40,161 80,322 137,521 275,042 412,563 825,126 1,512,731 3,025,462 4,538,193 9,076,386

Collatz Trajectory (225 steps to reach 1)

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

9,076,386 4,538,193 13,614,580 6,807,290 3,403,645 10,210,936 5,105,468 2,552,734 1,276,367 3,829,102 1,914,551 5,743,654 2,871,827 8,615,482 4,307,741 12,923,224 6,461,612 3,230,806 1,615,403 4,846,210 2,423,105 7,269,316 3,634,658 1,817,329 5,451,988 2,725,994 1,362,997 4,088,992 2,044,496 1,022,248 511,124 255,562 127,781 383,344 191,672 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598

More profiles

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