λ
Harmonic Matrix

1,155,065

5 × 17 × 107 × 127
Deficient Odd Composite

1,155,065 has digital root 5. The neighboring primes are 1155061 and 1155071; its proper-divisor sum differs from the starting integer by -817,138.

Prime Factor Structure

Factorization String 5 × 17 × 107 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,492,992
Proper Divisor Sum 337,927
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1155061 ← → #1155071

Radix Representation

Decimal 1155065
Binary 100011001111111111001 (21 bits)
Octal 0o4317771
Hexadecimal 0x119FF9

Divisor Catalog (16)

1 5 17 85 107 127 535 635 1,819 2,159 9,095 10,795 13,589 67,945 231,013 1,155,065

Collatz Trajectory (222 steps to reach 1)

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

1,155,065 3,465,196 1,732,598 866,299 2,598,898 1,299,449 3,898,348 1,949,174 974,587 2,923,762 1,461,881 4,385,644 2,192,822 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

More profiles

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