λ
Harmonic Matrix

9,409,386

2 × 3 × 7 × 224033
Abundant Even Composite

9,409,386 has digital root 3. The neighboring primes are 9409373 and 9409403; its proper-divisor sum differs from the starting integer by 2,688,492.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 224033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,507,264
Proper Divisor Sum 12,097,878
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9409373 ← → #9409403

Radix Representation

Decimal 9409386
Binary 100011111001001101101010 (24 bits)
Octal 0o43711552
Hexadecimal 0x8F936A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 224,033 448,066 672,099 1,344,198 1,568,231 3,136,462 4,704,693 9,409,386

Collatz Trajectory (194 steps to reach 1)

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

9,409,386 4,704,693 14,114,080 7,057,040 3,528,520 1,764,260 882,130 441,065 1,323,196 661,598 330,799 992,398 496,199 1,488,598 744,299 2,232,898 1,116,449 3,349,348 1,674,674 837,337 2,512,012 1,256,006 628,003 1,884,010 942,005 2,826,016 1,413,008 706,504 353,252 176,626 88,313 264,940 132,470 66,235 198,706 99,353 298,060 149,030 74,515 223,546 111,773 335,320 167,660 83,830 41,915 125,746 62,873 188,620 94,310 47,155 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894 9,947

More profiles

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