λ
Harmonic Matrix

2,639,757

3 × 879919
Deficient Odd Composite

2,639,757 has digital root 3. The neighboring primes are 2639723 and 2639759; its proper-divisor sum differs from the starting integer by -1,759,834.

Prime Factor Structure

Factorization String 3 × 879919
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,519,680
Proper Divisor Sum 879,923
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2639723 ← → #2639759

Radix Representation

Decimal 2639757
Binary 1010000100011110001101 (22 bits)
Octal 0o12043615
Hexadecimal 0x28478D

Divisor Catalog (4)

1 3 879,919 2,639,757

Collatz Trajectory (94 steps to reach 1)

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

2,639,757 7,919,272 3,959,636 1,979,818 989,909 2,969,728 1,484,864 742,432 371,216 185,608 92,804 46,402 23,201 69,604 34,802 17,401 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792

More profiles

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