λ
Prime Ledger

9,288,406

2 × 31 × 37 × 4049
Deficient Even Composite

9,288,406 has the prime decomposition 2 × 31 × 37 × 4049. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 37 × 4049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,774,400
Proper Divisor Sum 5,485,994
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9288401 ← → #9288413

Radix Representation

Decimal 9288406
Binary 100011011011101011010110 (24 bits)
Octal 0o43335326
Hexadecimal 0x8DBAD6

Divisor Catalog (16)

1 2 31 37 62 74 1,147 2,294 4,049 8,098 125,519 149,813 251,038 299,626 4,644,203 9,288,406

Collatz Trajectory (256 steps to reach 1)

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

9,288,406 4,644,203 13,932,610 6,966,305 20,898,916 10,449,458 5,224,729 15,674,188 7,837,094 3,918,547 11,755,642 5,877,821 17,633,464 8,816,732 4,408,366 2,204,183 6,612,550 3,306,275 9,918,826 4,959,413 14,878,240 7,439,120 3,719,560 1,859,780 929,890 464,945 1,394,836 697,418 348,709 1,046,128 523,064 261,532 130,766 65,383 196,150 98,075 294,226 147,113 441,340 220,670 110,335 331,006 165,503 496,510 248,255 744,766 372,383 1,117,150 558,575 1,675,726 837,863 2,513,590 1,256,795 3,770,386 1,885,193 5,655,580 2,827,790 1,413,895 4,241,686 2,120,843

More profiles

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