λ
Harmonic Matrix

9,325,608

23 × 3 × 388567
Abundant Even Composite

9,325,608 has digital root 6. The neighboring primes are 9325601 and 9325627; its proper-divisor sum differs from the starting integer by 4,662,864.

Prime Factor Structure

Factorization String 2^3 × 3 × 388567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 23,314,080
Proper Divisor Sum 13,988,472
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9325601 ← → #9325627

Radix Representation

Decimal 9325608
Binary 100011100100110000101000 (24 bits)
Octal 0o43446050
Hexadecimal 0x8E4C28

Divisor Catalog (16)

1 2 3 4 6 8 12 24 388,567 777,134 1,165,701 1,554,268 2,331,402 3,108,536 4,662,804 9,325,608

Collatz Trajectory (132 steps to reach 1)

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

9,325,608 4,662,804 2,331,402 1,165,701 3,497,104 1,748,552 874,276 437,138 218,569 655,708 327,854 163,927 491,782 245,891 737,674 368,837 1,106,512 553,256 276,628 138,314 69,157 207,472 103,736 51,868 25,934 12,967 38,902 19,451 58,354 29,177 87,532 43,766 21,883 65,650 32,825 98,476 49,238 24,619 73,858 36,929 110,788 55,394 27,697 83,092 41,546 20,773 62,320 31,160 15,580 7,790 3,895 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862

More profiles

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