λ
Harmonic Matrix

2,642,499

32 × 89 × 3299
Deficient Odd Composite

2,642,499 has digital root 9. The neighboring primes are 2642483 and 2642513; its proper-divisor sum differs from the starting integer by -1,423,998.

Prime Factor Structure

Factorization String 3^2 × 89 × 3299
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,861,000
Proper Divisor Sum 1,218,501
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2642483 ← → #2642513

Radix Representation

Decimal 2642499
Binary 1010000101001001000011 (22 bits)
Octal 0o12051103
Hexadecimal 0x285243

Divisor Catalog (12)

1 3 9 89 267 801 3,299 9,897 29,691 293,611 880,833 2,642,499

Collatz Trajectory (156 steps to reach 1)

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

2,642,499 7,927,498 3,963,749 11,891,248 5,945,624 2,972,812 1,486,406 743,203 2,229,610 1,114,805 3,344,416 1,672,208 836,104 418,052 209,026 104,513 313,540 156,770 78,385 235,156 117,578 58,789 176,368 88,184 44,092 22,046 11,023 33,070 16,535 49,606 24,803 74,410 37,205 111,616 55,808 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

More profiles

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