λ
Harmonic Matrix

2,763,730

2 × 5 × 276373
Deficient Even Composite

2,763,730 has digital root 1. The neighboring primes are 2763679 and 2763751; its proper-divisor sum differs from the starting integer by -552,728.

Prime Factor Structure

Factorization String 2 × 5 × 276373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,974,732
Proper Divisor Sum 2,211,002
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2763679 ← → #2763751

Radix Representation

Decimal 2763730
Binary 1010100010101111010010 (22 bits)
Octal 0o12425722
Hexadecimal 0x2A2BD2

Divisor Catalog (8)

1 2 5 10 276,373 552,746 1,381,865 2,763,730

Collatz Trajectory (161 steps to reach 1)

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

2,763,730 1,381,865 4,145,596 2,072,798 1,036,399 3,109,198 1,554,599 4,663,798 2,331,899 6,995,698 3,497,849 10,493,548 5,246,774 2,623,387 7,870,162 3,935,081 11,805,244 5,902,622 2,951,311 8,853,934 4,426,967 13,280,902 6,640,451 19,921,354 9,960,677 29,882,032 14,941,016 7,470,508 3,735,254 1,867,627 5,602,882 2,801,441 8,404,324 4,202,162 2,101,081 6,303,244 3,151,622 1,575,811 4,727,434 2,363,717 7,091,152 3,545,576 1,772,788 886,394 443,197 1,329,592 664,796 332,398 166,199 498,598 249,299 747,898 373,949 1,121,848 560,924 280,462 140,231 420,694 210,347 631,042

More profiles

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