λ
Harmonic Matrix

2,592,776

23 × 324097
Deficient Even Composite

2,592,776 has digital root 2. The neighboring primes are 2592773 and 2592781; its proper-divisor sum differs from the starting integer by -324,082.

Prime Factor Structure

Factorization String 2^3 × 324097
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,861,470
Proper Divisor Sum 2,268,694
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2592773 ← → #2592781

Radix Representation

Decimal 2592776
Binary 1001111001000000001000 (22 bits)
Octal 0o11710010
Hexadecimal 0x279008

Divisor Catalog (8)

1 2 4 8 324,097 648,194 1,296,388 2,592,776

Collatz Trajectory (179 steps to reach 1)

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

2,592,776 1,296,388 648,194 324,097 972,292 486,146 243,073 729,220 364,610 182,305 546,916 273,458 136,729 410,188 205,094 102,547 307,642 153,821 461,464 230,732 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674

More profiles

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