λ
Harmonic Matrix

9,284,908

22 × 307 × 7561
Deficient Even Composite

9,284,908 has digital root 4. The neighboring primes are 9284879 and 9284917; its proper-divisor sum differs from the starting integer by -2,266,144.

Prime Factor Structure

Factorization String 2^2 × 307 × 7561
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,303,672
Proper Divisor Sum 7,018,764
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9284879 ← → #9284917

Radix Representation

Decimal 9284908
Binary 100011011010110100101100 (24 bits)
Octal 0o43326454
Hexadecimal 0x8DAD2C

Divisor Catalog (12)

1 2 4 307 614 1,228 7,561 15,122 30,244 2,321,227 4,642,454 9,284,908

Collatz Trajectory (88 steps to reach 1)

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

9,284,908 4,642,454 2,321,227 6,963,682 3,481,841 10,445,524 5,222,762 2,611,381 7,834,144 3,917,072 1,958,536 979,268 489,634 244,817 734,452 367,226 183,613 550,840 275,420 137,710 68,855 206,566 103,283 309,850 154,925 464,776 232,388 116,194 58,097 174,292 87,146 43,573 130,720 65,360 32,680 16,340 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640

More profiles

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