λ
Harmonic Matrix

2,075,294

2 × 13 × 19 × 4201
Deficient Even Composite

2,075,294 has digital root 2. The neighboring primes are 2075279 and 2075299; its proper-divisor sum differs from the starting integer by -620,908.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 4201
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,529,680
Proper Divisor Sum 1,454,386
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2075279 ← → #2075299

Radix Representation

Decimal 2075294
Binary 111111010101010011110 (21 bits)
Octal 0o7725236
Hexadecimal 0x1FAA9E

Divisor Catalog (16)

1 2 13 19 26 38 247 494 4,201 8,402 54,613 79,819 109,226 159,638 1,037,647 2,075,294

Collatz Trajectory (184 steps to reach 1)

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

2,075,294 1,037,647 3,112,942 1,556,471 4,669,414 2,334,707 7,004,122 3,502,061 10,506,184 5,253,092 2,626,546 1,313,273 3,939,820 1,969,910 984,955 2,954,866 1,477,433 4,432,300 2,216,150 1,108,075 3,324,226 1,662,113 4,986,340 2,493,170 1,246,585 3,739,756 1,869,878 934,939 2,804,818 1,402,409 4,207,228 2,103,614 1,051,807 3,155,422 1,577,711 4,733,134 2,366,567 7,099,702 3,549,851 10,649,554 5,324,777 15,974,332 7,987,166 3,993,583 11,980,750 5,990,375 17,971,126 8,985,563 26,956,690 13,478,345 40,435,036 20,217,518 10,108,759 30,326,278 15,163,139 45,489,418 22,744,709 68,234,128 34,117,064 17,058,532

More profiles

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