λ
Harmonic Matrix

9,225,361

9225361
Deficient Odd Prime

9,225,361 has digital root 1. The neighboring primes are 9225353 and 9225371; its proper-divisor sum differs from the starting integer by -9,225,360.

Prime Factor Structure

Factorization String 9225361
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,225,362
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9225353 ← → #9225371

Radix Representation

Decimal 9225361
Binary 100011001100010010010001 (24 bits)
Octal 0o43142221
Hexadecimal 0x8CC491

Divisor Catalog (2)

Collatz Trajectory (194 steps to reach 1)

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

9,225,361 27,676,084 13,838,042 6,919,021 20,757,064 10,378,532 5,189,266 2,594,633 7,783,900 3,891,950 1,945,975 5,837,926 2,918,963 8,756,890 4,378,445 13,135,336 6,567,668 3,283,834 1,641,917 4,925,752 2,462,876 1,231,438 615,719 1,847,158 923,579 2,770,738 1,385,369 4,156,108 2,078,054 1,039,027 3,117,082 1,558,541 4,675,624 2,337,812 1,168,906 584,453 1,753,360 876,680 438,340 219,170 109,585 328,756 164,378 82,189 246,568 123,284 61,642 30,821 92,464 46,232 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754

More profiles

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