λ
Harmonic Matrix

1,835,399

1835399
Deficient Odd Prime

1,835,399 has digital root 2. The neighboring primes are 1835363 and 1835401; its proper-divisor sum differs from the starting integer by -1,835,398.

Prime Factor Structure

Factorization String 1835399
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,835,400
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1835363 ← → #1835401

Radix Representation

Decimal 1835399
Binary 111000000000110000111 (21 bits)
Octal 0o7000607
Hexadecimal 0x1C0187

Divisor Catalog (2)

Collatz Trajectory (140 steps to reach 1)

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

1,835,399 5,506,198 2,753,099 8,259,298 4,129,649 12,388,948 6,194,474 3,097,237 9,291,712 4,645,856 2,322,928 1,161,464 580,732 290,366 145,183 435,550 217,775 653,326 326,663 979,990 489,995 1,469,986 734,993 2,204,980 1,102,490 551,245 1,653,736 826,868 413,434 206,717 620,152 310,076 155,038 77,519 232,558 116,279 348,838 174,419 523,258 261,629 784,888 392,444 196,222 98,111 294,334 147,167 441,502 220,751 662,254 331,127 993,382 496,691 1,490,074 745,037 2,235,112 1,117,556 558,778 279,389 838,168 419,084

More profiles

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