λ
Harmonic Matrix

1,595,197

1595197
Deficient Odd Prime

1,595,197 has digital root 1. The neighboring primes are 1595189 and 1595201; its proper-divisor sum differs from the starting integer by -1,595,196.

Prime Factor Structure

Factorization String 1595197
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,595,198
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1595189 ← → #1595201

Radix Representation

Decimal 1595197
Binary 110000101011100111101 (21 bits)
Octal 0o6053475
Hexadecimal 0x18573D

Divisor Catalog (2)

Collatz Trajectory (238 steps to reach 1)

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

1,595,197 4,785,592 2,392,796 1,196,398 598,199 1,794,598 897,299 2,691,898 1,345,949 4,037,848 2,018,924 1,009,462 504,731 1,514,194 757,097 2,271,292 1,135,646 567,823 1,703,470 851,735 2,555,206 1,277,603 3,832,810 1,916,405 5,749,216 2,874,608 1,437,304 718,652 359,326 179,663 538,990 269,495 808,486 404,243 1,212,730 606,365 1,819,096 909,548 454,774 227,387 682,162 341,081 1,023,244 511,622 255,811 767,434 383,717 1,151,152 575,576 287,788 143,894 71,947 215,842 107,921 323,764 161,882 80,941 242,824 121,412 60,706

More profiles

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