λ
Harmonic Matrix

9,772,211

9772211
Deficient Odd Prime

9,772,211 has digital root 2. The neighboring primes are 9772201 and 9772219; its proper-divisor sum differs from the starting integer by -9,772,210.

Prime Factor Structure

Factorization String 9772211
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,772,212
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9772201 ← → #9772219

Radix Representation

Decimal 9772211
Binary 100101010001110010110011 (24 bits)
Octal 0o45216263
Hexadecimal 0x951CB3

Divisor Catalog (2)

Collatz Trajectory (101 steps to reach 1)

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

9,772,211 29,316,634 14,658,317 43,974,952 21,987,476 10,993,738 5,496,869 16,490,608 8,245,304 4,122,652 2,061,326 1,030,663 3,091,990 1,545,995 4,637,986 2,318,993 6,956,980 3,478,490 1,739,245 5,217,736 2,608,868 1,304,434 652,217 1,956,652 978,326 489,163 1,467,490 733,745 2,201,236 1,100,618 550,309 1,650,928 825,464 412,732 206,366 103,183 309,550 154,775 464,326 232,163 696,490 348,245 1,044,736 522,368 261,184 130,592 65,296 32,648 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287

More profiles

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