λ
Harmonic Matrix

8,894,321

8894321
Deficient Odd Prime

8,894,321 has digital root 8. The neighboring primes are 8894311 and 8894323; its proper-divisor sum differs from the starting integer by -8,894,320.

Prime Factor Structure

Factorization String 8894321
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,894,322
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8894311 ← → #8894323

Radix Representation

Decimal 8894321
Binary 100001111011011101110001 (24 bits)
Octal 0o41733561
Hexadecimal 0x87B771

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,894,321 26,682,964 13,341,482 6,670,741 20,012,224 10,006,112 5,003,056 2,501,528 1,250,764 625,382 312,691 938,074 469,037 1,407,112 703,556 351,778 175,889 527,668 263,834 131,917 395,752 197,876 98,938 49,469 148,408 74,204 37,102 18,551 55,654 27,827 83,482 41,741 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570

More profiles

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