λ
Harmonic Matrix

9,600,014

2 × 4800007
Deficient Even Composite

9,600,014 has digital root 2. The neighboring primes are 9599977 and 9600037; its proper-divisor sum differs from the starting integer by -4,800,004.

Prime Factor Structure

Factorization String 2 × 4800007
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 14,400,024
Proper Divisor Sum 4,800,010
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9599977 ← → #9600037

Radix Representation

Decimal 9600014
Binary 100100100111110000001110 (24 bits)
Octal 0o44476016
Hexadecimal 0x927C0E

Divisor Catalog (4)

1 2 4,800,007 9,600,014

Collatz Trajectory (238 steps to reach 1)

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

9,600,014 4,800,007 14,400,022 7,200,011 21,600,034 10,800,017 32,400,052 16,200,026 8,100,013 24,300,040 12,150,020 6,075,010 3,037,505 9,112,516 4,556,258 2,278,129 6,834,388 3,417,194 1,708,597 5,125,792 2,562,896 1,281,448 640,724 320,362 160,181 480,544 240,272 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366

More profiles

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