λ
Harmonic Matrix

7,098,243

3 × 29 × 83 × 983
Deficient Odd Composite

7,098,243 has digital root 6. The neighboring primes are 7098239 and 7098263; its proper-divisor sum differs from the starting integer by -4,277,766.

Prime Factor Structure

Factorization String 3 × 29 × 83 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,918,720
Proper Divisor Sum 2,820,477
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7098239 ← → #7098263

Radix Representation

Decimal 7098243
Binary 11011000100111110000011 (23 bits)
Octal 0o33047603
Hexadecimal 0x6C4F83

Divisor Catalog (16)

1 3 29 83 87 249 983 2,407 2,949 7,221 28,507 81,589 85,521 244,767 2,366,081 7,098,243

Collatz Trajectory (222 steps to reach 1)

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

7,098,243 21,294,730 10,647,365 31,942,096 15,971,048 7,985,524 3,992,762 1,996,381 5,989,144 2,994,572 1,497,286 748,643 2,245,930 1,122,965 3,368,896 1,684,448 842,224 421,112 210,556 105,278 52,639 157,918 78,959 236,878 118,439 355,318 177,659 532,978 266,489 799,468 399,734 199,867 599,602 299,801 899,404 449,702 224,851 674,554 337,277 1,011,832 505,916 252,958 126,479 379,438 189,719 569,158 284,579 853,738 426,869 1,280,608 640,304 320,152 160,076 80,038 40,019 120,058 60,029 180,088 90,044 45,022

More profiles

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