λ
Harmonic Matrix

1,115,813

19 × 58727
Deficient Odd Composite

1,115,813 has digital root 2. The neighboring primes are 1115789 and 1115831; its proper-divisor sum differs from the starting integer by -1,057,066.

Prime Factor Structure

Factorization String 19 × 58727
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,174,560
Proper Divisor Sum 58,747
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1115789 ← → #1115831

Radix Representation

Decimal 1115813
Binary 100010000011010100101 (21 bits)
Octal 0o4203245
Hexadecimal 0x1106A5

Divisor Catalog (4)

1 19 58,727 1,115,813

Collatz Trajectory (116 steps to reach 1)

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

1,115,813 3,347,440 1,673,720 836,860 418,430 209,215 627,646 313,823 941,470 470,735 1,412,206 706,103 2,118,310 1,059,155 3,177,466 1,588,733 4,766,200 2,383,100 1,191,550 595,775 1,787,326 893,663 2,680,990 1,340,495 4,021,486 2,010,743 6,032,230 3,016,115 9,048,346 4,524,173 13,572,520 6,786,260 3,393,130 1,696,565 5,089,696 2,544,848 1,272,424 636,212 318,106 159,053 477,160 238,580 119,290 59,645 178,936 89,468 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464

More profiles

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