λ
Harmonic Matrix

8,365,873

73 × 114601
Deficient Odd Composite

8,365,873 has digital root 4. The neighboring primes are 8365867 and 8365883; its proper-divisor sum differs from the starting integer by -8,251,198.

Prime Factor Structure

Factorization String 73 × 114601
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,480,548
Proper Divisor Sum 114,675
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8365867 ← → #8365883

Radix Representation

Decimal 8365873
Binary 11111111010011100110001 (23 bits)
Octal 0o37723461
Hexadecimal 0x7FA731

Divisor Catalog (4)

1 73 114,601 8,365,873

Collatz Trajectory (199 steps to reach 1)

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

8,365,873 25,097,620 12,548,810 6,274,405 18,823,216 9,411,608 4,705,804 2,352,902 1,176,451 3,529,354 1,764,677 5,294,032 2,647,016 1,323,508 661,754 330,877 992,632 496,316 248,158 124,079 372,238 186,119 558,358 279,179 837,538 418,769 1,256,308 628,154 314,077 942,232 471,116 235,558 117,779 353,338 176,669 530,008 265,004 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474

More profiles

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