λ
Harmonic Matrix

2,595,913

19 × 317 × 431
Deficient Odd Composite

2,595,913 has digital root 7. The neighboring primes are 2595899 and 2595919; its proper-divisor sum differs from the starting integer by -2,444,306.

Prime Factor Structure

Factorization String 19 × 317 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,747,520
Proper Divisor Sum 151,607
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2595899 ← → #2595919

Radix Representation

Decimal 2595913
Binary 1001111001110001001001 (22 bits)
Octal 0o11716111
Hexadecimal 0x279C49

Divisor Catalog (8)

1 19 317 431 6,023 8,189 136,627 2,595,913

Collatz Trajectory (205 steps to reach 1)

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

2,595,913 7,787,740 3,893,870 1,946,935 5,840,806 2,920,403 8,761,210 4,380,605 13,141,816 6,570,908 3,285,454 1,642,727 4,928,182 2,464,091 7,392,274 3,696,137 11,088,412 5,544,206 2,772,103 8,316,310 4,158,155 12,474,466 6,237,233 18,711,700 9,355,850 4,677,925 14,033,776 7,016,888 3,508,444 1,754,222 877,111 2,631,334 1,315,667 3,947,002 1,973,501 5,920,504 2,960,252 1,480,126 740,063 2,220,190 1,110,095 3,330,286 1,665,143 4,995,430 2,497,715 7,493,146 3,746,573 11,239,720 5,619,860 2,809,930 1,404,965 4,214,896 2,107,448 1,053,724 526,862 263,431 790,294 395,147 1,185,442 592,721

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