λ
Harmonic Matrix

1,110,218

2 × 555109
Deficient Even Composite

1,110,218 has digital root 5. The neighboring primes are 1110181 and 1110223; its proper-divisor sum differs from the starting integer by -555,106.

Prime Factor Structure

Factorization String 2 × 555109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,665,330
Proper Divisor Sum 555,112
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1110181 ← → #1110223

Radix Representation

Decimal 1110218
Binary 100001111000011001010 (21 bits)
Octal 0o4170312
Hexadecimal 0x10F0CA

Divisor Catalog (4)

1 2 555,109 1,110,218

Collatz Trajectory (165 steps to reach 1)

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

1,110,218 555,109 1,665,328 832,664 416,332 208,166 104,083 312,250 156,125 468,376 234,188 117,094 58,547 175,642 87,821 263,464 131,732 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280

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