λ
Harmonic Matrix

7,289,098

2 × 317 × 11497
Deficient Even Composite

7,289,098 has digital root 7. The neighboring primes are 7289083 and 7289099; its proper-divisor sum differs from the starting integer by -3,609,104.

Prime Factor Structure

Factorization String 2 × 317 × 11497
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,969,092
Proper Divisor Sum 3,679,994
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7289083 ← → #7289099

Radix Representation

Decimal 7289098
Binary 11011110011100100001010 (23 bits)
Octal 0o33634412
Hexadecimal 0x6F390A

Divisor Catalog (8)

1 2 317 634 11,497 22,994 3,644,549 7,289,098

Collatz Trajectory (59 steps to reach 1)

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

7,289,098 3,644,549 10,933,648 5,466,824 2,733,412 1,366,706 683,353 2,050,060 1,025,030 512,515 1,537,546 768,773 2,306,320 1,153,160 576,580 288,290 144,145 432,436 216,218 108,109 324,328 162,164 81,082 40,541 121,624 60,812 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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