λ
Harmonic Matrix

8,360,389

8360389
Deficient Odd Prime

8,360,389 has digital root 1. The neighboring primes are 8360383 and 8360411; its proper-divisor sum differs from the starting integer by -8,360,388.

Prime Factor Structure

Factorization String 8360389
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,360,390
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8360383 ← → #8360411

Radix Representation

Decimal 8360389
Binary 11111111001000111000101 (23 bits)
Octal 0o37710705
Hexadecimal 0x7F91C5

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

8,360,389 25,081,168 12,540,584 6,270,292 3,135,146 1,567,573 4,702,720 2,351,360 1,175,680 587,840 293,920 146,960 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475

More profiles

← Previous Integer #8,360,388 Browse Full Index Next Integer #8,360,390 →