λ
Harmonic Matrix

2,592,243

34 × 32003
Deficient Odd Composite

2,592,243 has digital root 9. The neighboring primes are 2592241 and 2592253; its proper-divisor sum differs from the starting integer by -1,312,002.

Prime Factor Structure

Factorization String 3^4 × 32003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 3,872,484
Proper Divisor Sum 1,280,241
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2592241 ← → #2592253

Radix Representation

Decimal 2592243
Binary 1001111000110111110011 (22 bits)
Octal 0o11706763
Hexadecimal 0x278DF3

Divisor Catalog (10)

1 3 9 27 81 32,003 96,009 288,027 864,081 2,592,243

Collatz Trajectory (218 steps to reach 1)

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

2,592,243 7,776,730 3,888,365 11,665,096 5,832,548 2,916,274 1,458,137 4,374,412 2,187,206 1,093,603 3,280,810 1,640,405 4,921,216 2,460,608 1,230,304 615,152 307,576 153,788 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521 1,108,564 554,282 277,141 831,424 415,712 207,856 103,928 51,964 25,982 12,991 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657

More profiles

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