λ
Harmonic Matrix

2,599,046

2 × 23 × 56501
Deficient Even Composite

2,599,046 has digital root 8. The neighboring primes are 2599043 and 2599073; its proper-divisor sum differs from the starting integer by -1,129,948.

Prime Factor Structure

Factorization String 2 × 23 × 56501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,068,144
Proper Divisor Sum 1,469,098
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2599043 ← → #2599073

Radix Representation

Decimal 2599046
Binary 1001111010100010000110 (22 bits)
Octal 0o11724206
Hexadecimal 0x27A886

Divisor Catalog (8)

1 2 23 46 56,501 113,002 1,299,523 2,599,046

Collatz Trajectory (143 steps to reach 1)

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

2,599,046 1,299,523 3,898,570 1,949,285 5,847,856 2,923,928 1,461,964 730,982 365,491 1,096,474 548,237 1,644,712 822,356 411,178 205,589 616,768 308,384 154,192 77,096 38,548 19,274 9,637 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

More profiles

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