λ
Harmonic Matrix

9,640,326

2 × 3 × 17 × 94513
Abundant Even Composite

9,640,326 has digital root 3. The neighboring primes are 9640321 and 9640333; its proper-divisor sum differs from the starting integer by 1,134,372.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 94513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,415,024
Proper Divisor Sum 10,774,698
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9640321 ← → #9640333

Radix Representation

Decimal 9640326
Binary 100100110001100110000110 (24 bits)
Octal 0o44614606
Hexadecimal 0x931986

Divisor Catalog (16)

1 2 3 6 17 34 51 102 94,513 189,026 283,539 567,078 1,606,721 3,213,442 4,820,163 9,640,326

Collatz Trajectory (145 steps to reach 1)

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

9,640,326 4,820,163 14,460,490 7,230,245 21,690,736 10,845,368 5,422,684 2,711,342 1,355,671 4,067,014 2,033,507 6,100,522 3,050,261 9,150,784 4,575,392 2,287,696 1,143,848 571,924 285,962 142,981 428,944 214,472 107,236 53,618 26,809 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205

More profiles

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