λ
Harmonic Matrix

9,608,392

23 × 1201049
Deficient Even Composite

9,608,392 has digital root 1. The neighboring primes are 9608381 and 9608399; its proper-divisor sum differs from the starting integer by -1,201,034.

Prime Factor Structure

Factorization String 2^3 × 1201049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,015,750
Proper Divisor Sum 8,407,358
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9608381 ← → #9608399

Radix Representation

Decimal 9608392
Binary 100100101001110011001000 (24 bits)
Octal 0o44516310
Hexadecimal 0x929CC8

Divisor Catalog (8)

1 2 4 8 1,201,049 2,402,098 4,804,196 9,608,392

Collatz Trajectory (238 steps to reach 1)

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

9,608,392 4,804,196 2,402,098 1,201,049 3,603,148 1,801,574 900,787 2,702,362 1,351,181 4,053,544 2,026,772 1,013,386 506,693 1,520,080 760,040 380,020 190,010 95,005 285,016 142,508 71,254 35,627 106,882 53,441 160,324 80,162 40,081 120,244 60,122 30,061 90,184 45,092 22,546 11,273 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964

More profiles

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