λ
Harmonic Matrix

980,222

2 × 490111
Deficient Even Composite

980,222 has digital root 5. The neighboring primes are 980219 and 980249; its proper-divisor sum differs from the starting integer by -490,108.

Prime Factor Structure

Factorization String 2 × 490111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,470,336
Proper Divisor Sum 490,114
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #980219 ← → #980249

Radix Representation

Decimal 980222
Binary 11101111010011111110 (20 bits)
Octal 0o3572376
Hexadecimal 0xEF4FE

Divisor Catalog (4)

1 2 490,111 980,222

Collatz Trajectory (245 steps to reach 1)

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

980,222 490,111 1,470,334 735,167 2,205,502 1,102,751 3,308,254 1,654,127 4,962,382 2,481,191 7,443,574 3,721,787 11,165,362 5,582,681 16,748,044 8,374,022 4,187,011 12,561,034 6,280,517 18,841,552 9,420,776 4,710,388 2,355,194 1,177,597 3,532,792 1,766,396 883,198 441,599 1,324,798 662,399 1,987,198 993,599 2,980,798 1,490,399 4,471,198 2,235,599 6,706,798 3,353,399 10,060,198 5,030,099 15,090,298 7,545,149 22,635,448 11,317,724 5,658,862 2,829,431 8,488,294 4,244,147 12,732,442 6,366,221 19,098,664 9,549,332 4,774,666 2,387,333 7,162,000 3,581,000 1,790,500 895,250 447,625 1,342,876

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