λ
Harmonic Matrix

9,855,267

3 × 3285089
Deficient Odd Composite

9,855,267 has digital root 6. The neighboring primes are 9855259 and 9855271; its proper-divisor sum differs from the starting integer by -6,570,174.

Prime Factor Structure

Factorization String 3 × 3285089
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,140,360
Proper Divisor Sum 3,285,093
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9855259 ← → #9855271

Radix Representation

Decimal 9855267
Binary 100101100110000100100011 (24 bits)
Octal 0o45460443
Hexadecimal 0x966123

Divisor Catalog (4)

1 3 3,285,089 9,855,267

Collatz Trajectory (313 steps to reach 1)

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

9,855,267 29,565,802 14,782,901 44,348,704 22,174,352 11,087,176 5,543,588 2,771,794 1,385,897 4,157,692 2,078,846 1,039,423 3,118,270 1,559,135 4,677,406 2,338,703 7,016,110 3,508,055 10,524,166 5,262,083 15,786,250 7,893,125 23,679,376 11,839,688 5,919,844 2,959,922 1,479,961 4,439,884 2,219,942 1,109,971 3,329,914 1,664,957 4,994,872 2,497,436 1,248,718 624,359 1,873,078 936,539 2,809,618 1,404,809 4,214,428 2,107,214 1,053,607 3,160,822 1,580,411 4,741,234 2,370,617 7,111,852 3,555,926 1,777,963 5,333,890 2,666,945 8,000,836 4,000,418 2,000,209 6,000,628 3,000,314 1,500,157 4,500,472 2,250,236

More profiles

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