λ
Harmonic Matrix

2,592,182

2 × 107 × 12113
Deficient Even Composite

2,592,182 has digital root 2. The neighboring primes are 2592167 and 2592193; its proper-divisor sum differs from the starting integer by -1,259,428.

Prime Factor Structure

Factorization String 2 × 107 × 12113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,924,936
Proper Divisor Sum 1,332,754
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2592167 ← → #2592193

Radix Representation

Decimal 2592182
Binary 1001111000110110110110 (22 bits)
Octal 0o11706666
Hexadecimal 0x278DB6

Divisor Catalog (8)

1 2 107 214 12,113 24,226 1,296,091 2,592,182

Collatz Trajectory (218 steps to reach 1)

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

2,592,182 1,296,091 3,888,274 1,944,137 5,832,412 2,916,206 1,458,103 4,374,310 2,187,155 6,561,466 3,280,733 9,842,200 4,921,100 2,460,550 1,230,275 3,690,826 1,845,413 5,536,240 2,768,120 1,384,060 692,030 346,015 1,038,046 519,023 1,557,070 778,535 2,335,606 1,167,803 3,503,410 1,751,705 5,255,116 2,627,558 1,313,779 3,941,338 1,970,669 5,912,008 2,956,004 1,478,002 739,001 2,217,004 1,108,502 554,251 1,662,754 831,377 2,494,132 1,247,066 623,533 1,870,600 935,300 467,650 233,825 701,476 350,738 175,369 526,108 263,054 131,527 394,582 197,291 591,874

More profiles

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