λ
Harmonic Matrix

9,267,236

22 × 11 × 210619
Deficient Even Composite

9,267,236 has digital root 8. The neighboring primes are 9267217 and 9267241; its proper-divisor sum differs from the starting integer by -842,392.

Prime Factor Structure

Factorization String 2^2 × 11 × 210619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,692,080
Proper Divisor Sum 8,424,844
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9267217 ← → #9267241

Radix Representation

Decimal 9267236
Binary 100011010110100000100100 (24 bits)
Octal 0o43264044
Hexadecimal 0x8D6824

Divisor Catalog (12)

1 2 4 11 22 44 210,619 421,238 842,476 2,316,809 4,633,618 9,267,236

Collatz Trajectory (194 steps to reach 1)

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

9,267,236 4,633,618 2,316,809 6,950,428 3,475,214 1,737,607 5,212,822 2,606,411 7,819,234 3,909,617 11,728,852 5,864,426 2,932,213 8,796,640 4,398,320 2,199,160 1,099,580 549,790 274,895 824,686 412,343 1,237,030 618,515 1,855,546 927,773 2,783,320 1,391,660 695,830 347,915 1,043,746 521,873 1,565,620 782,810 391,405 1,174,216 587,108 293,554 146,777 440,332 220,166 110,083 330,250 165,125 495,376 247,688 123,844 61,922 30,961 92,884 46,442 23,221 69,664 34,832 17,416 8,708 4,354 2,177 6,532 3,266 1,633

More profiles

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