λ
Harmonic Matrix

9,254,610

2 × 32 × 5 × 102829
Abundant Even Composite

9,254,610 has digital root 9. The neighboring primes are 9254603 and 9254611; its proper-divisor sum differs from the starting integer by 5,553,000.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 102829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,062,220
Proper Divisor Sum 14,807,610
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9254603 ← → #9254611

Radix Representation

Decimal 9254610
Binary 100011010011011011010010 (24 bits)
Octal 0o43233322
Hexadecimal 0x8D36D2

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 102,829 205,658 308,487 514,145 616,974 925,461 1,028,290 1,542,435 1,850,922 3,084,870 4,627,305 9,254,610

Collatz Trajectory (194 steps to reach 1)

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

9,254,610 4,627,305 13,881,916 6,940,958 3,470,479 10,411,438 5,205,719 15,617,158 7,808,579 23,425,738 11,712,869 35,138,608 17,569,304 8,784,652 4,392,326 2,196,163 6,588,490 3,294,245 9,882,736 4,941,368 2,470,684 1,235,342 617,671 1,853,014 926,507 2,779,522 1,389,761 4,169,284 2,084,642 1,042,321 3,126,964 1,563,482 781,741 2,345,224 1,172,612 586,306 293,153 879,460 439,730 219,865 659,596 329,798 164,899 494,698 247,349 742,048 371,024 185,512 92,756 46,378 23,189 69,568 34,784 17,392 8,696 4,348 2,174 1,087 3,262 1,631

More profiles

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