λ
Harmonic Matrix

2,653,006

2 × 1326503
Deficient Even Composite

2,653,006 has digital root 4. The neighboring primes are 2652997 and 2653019; its proper-divisor sum differs from the starting integer by -1,326,500.

Prime Factor Structure

Factorization String 2 × 1326503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,979,512
Proper Divisor Sum 1,326,506
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2652997 ← → #2653019

Radix Representation

Decimal 2653006
Binary 1010000111101101001110 (22 bits)
Octal 0o12075516
Hexadecimal 0x287B4E

Divisor Catalog (4)

1 2 1,326,503 2,653,006

Collatz Trajectory (68 steps to reach 1)

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

2,653,006 1,326,503 3,979,510 1,989,755 5,969,266 2,984,633 8,953,900 4,476,950 2,238,475 6,715,426 3,357,713 10,073,140 5,036,570 2,518,285 7,554,856 3,777,428 1,888,714 944,357 2,833,072 1,416,536 708,268 354,134 177,067 531,202 265,601 796,804 398,402 199,201 597,604 298,802 149,401 448,204 224,102 112,051 336,154 168,077 504,232 252,116 126,058 63,029 189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13

More profiles

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