λ
Harmonic Matrix

2,612,306

2 × 367 × 3559
Deficient Even Composite

2,612,306 has digital root 2. The neighboring primes are 2612297 and 2612321; its proper-divisor sum differs from the starting integer by -1,294,372.

Prime Factor Structure

Factorization String 2 × 367 × 3559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,930,240
Proper Divisor Sum 1,317,934
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2612297 ← → #2612321

Radix Representation

Decimal 2612306
Binary 1001111101110001010010 (22 bits)
Octal 0o11756122
Hexadecimal 0x27DC52

Divisor Catalog (8)

1 2 367 734 3,559 7,118 1,306,153 2,612,306

Collatz Trajectory (156 steps to reach 1)

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

2,612,306 1,306,153 3,918,460 1,959,230 979,615 2,938,846 1,469,423 4,408,270 2,204,135 6,612,406 3,306,203 9,918,610 4,959,305 14,877,916 7,438,958 3,719,479 11,158,438 5,579,219 16,737,658 8,368,829 25,106,488 12,553,244 6,276,622 3,138,311 9,414,934 4,707,467 14,122,402 7,061,201 21,183,604 10,591,802 5,295,901 15,887,704 7,943,852 3,971,926 1,985,963 5,957,890 2,978,945 8,936,836 4,468,418 2,234,209 6,702,628 3,351,314 1,675,657 5,026,972 2,513,486 1,256,743 3,770,230 1,885,115 5,655,346 2,827,673 8,483,020 4,241,510 2,120,755 6,362,266 3,181,133 9,543,400 4,771,700 2,385,850 1,192,925 3,578,776

More profiles

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