λ
Harmonic Matrix

1,786,263

3 × 43 × 61 × 227
Deficient Odd Composite

1,786,263 has digital root 6. The neighboring primes are 1786261 and 1786271; its proper-divisor sum differs from the starting integer by -1,084,590.

Prime Factor Structure

Factorization String 3 × 43 × 61 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,487,936
Proper Divisor Sum 701,673
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1786261 ← → #1786271

Radix Representation

Decimal 1786263
Binary 110110100000110010111 (21 bits)
Octal 0o6640627
Hexadecimal 0x1B4197

Divisor Catalog (16)

1 3 43 61 129 183 227 681 2,623 7,869 9,761 13,847 29,283 41,541 595,421 1,786,263

Collatz Trajectory (171 steps to reach 1)

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

1,786,263 5,358,790 2,679,395 8,038,186 4,019,093 12,057,280 6,028,640 3,014,320 1,507,160 753,580 376,790 188,395 565,186 282,593 847,780 423,890 211,945 635,836 317,918 158,959 476,878 238,439 715,318 357,659 1,072,978 536,489 1,609,468 804,734 402,367 1,207,102 603,551 1,810,654 905,327 2,715,982 1,357,991 4,073,974 2,036,987 6,110,962 3,055,481 9,166,444 4,583,222 2,291,611 6,874,834 3,437,417 10,312,252 5,156,126 2,578,063 7,734,190 3,867,095 11,601,286 5,800,643 17,401,930 8,700,965 26,102,896 13,051,448 6,525,724 3,262,862 1,631,431 4,894,294 2,447,147

More profiles

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