λ
Harmonic Matrix

1,096,411

53 × 137 × 151
Deficient Odd Composite

1,096,411 has digital root 4. The neighboring primes are 1096399 and 1096423; its proper-divisor sum differs from the starting integer by -1,060,118.

Prime Factor Structure

Factorization String 53 × 137 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,132,704
Proper Divisor Sum 36,293
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1096399 ← → #1096423

Radix Representation

Decimal 1096411
Binary 100001011101011011011 (21 bits)
Octal 0o4135333
Hexadecimal 0x10BADB

Divisor Catalog (8)

1 53 137 151 7,261 8,003 20,687 1,096,411

Collatz Trajectory (209 steps to reach 1)

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

1,096,411 3,289,234 1,644,617 4,933,852 2,466,926 1,233,463 3,700,390 1,850,195 5,550,586 2,775,293 8,325,880 4,162,940 2,081,470 1,040,735 3,122,206 1,561,103 4,683,310 2,341,655 7,024,966 3,512,483 10,537,450 5,268,725 15,806,176 7,903,088 3,951,544 1,975,772 987,886 493,943 1,481,830 740,915 2,222,746 1,111,373 3,334,120 1,667,060 833,530 416,765 1,250,296 625,148 312,574 156,287 468,862 234,431 703,294 351,647 1,054,942 527,471 1,582,414 791,207 2,373,622 1,186,811 3,560,434 1,780,217 5,340,652 2,670,326 1,335,163 4,005,490 2,002,745 6,008,236 3,004,118 1,502,059

More profiles

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