λ
Harmonic Matrix

9,664,378

2 × 71 × 68059
Deficient Even Composite

9,664,378 has digital root 7. The neighboring primes are 9664367 and 9664399; its proper-divisor sum differs from the starting integer by -4,627,796.

Prime Factor Structure

Factorization String 2 × 71 × 68059
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,700,960
Proper Divisor Sum 5,036,582
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9664367 ← → #9664399

Radix Representation

Decimal 9664378
Binary 100100110111011101111010 (24 bits)
Octal 0o44673572
Hexadecimal 0x93777A

Divisor Catalog (8)

1 2 71 142 68,059 136,118 4,832,189 9,664,378

Collatz Trajectory (207 steps to reach 1)

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

9,664,378 4,832,189 14,496,568 7,248,284 3,624,142 1,812,071 5,436,214 2,718,107 8,154,322 4,077,161 12,231,484 6,115,742 3,057,871 9,173,614 4,586,807 13,760,422 6,880,211 20,640,634 10,320,317 30,960,952 15,480,476 7,740,238 3,870,119 11,610,358 5,805,179 17,415,538 8,707,769 26,123,308 13,061,654 6,530,827 19,592,482 9,796,241 29,388,724 14,694,362 7,347,181 22,041,544 11,020,772 5,510,386 2,755,193 8,265,580 4,132,790 2,066,395 6,199,186 3,099,593 9,298,780 4,649,390 2,324,695 6,974,086 3,487,043 10,461,130 5,230,565 15,691,696 7,845,848 3,922,924 1,961,462 980,731 2,942,194 1,471,097 4,413,292 2,206,646

More profiles

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