λ
Harmonic Matrix

3,362,878

2 × 307 × 5477
Deficient Even Composite

3,362,878 has digital root 1. The neighboring primes are 3362857 and 3362917; its proper-divisor sum differs from the starting integer by -1,664,084.

Prime Factor Structure

Factorization String 2 × 307 × 5477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,061,672
Proper Divisor Sum 1,698,794
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3362857 ← → #3362917

Radix Representation

Decimal 3362878
Binary 1100110101000000111110 (22 bits)
Octal 0o14650076
Hexadecimal 0x33503E

Divisor Catalog (8)

1 2 307 614 5,477 10,954 1,681,439 3,362,878

Collatz Trajectory (159 steps to reach 1)

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

3,362,878 1,681,439 5,044,318 2,522,159 7,566,478 3,783,239 11,349,718 5,674,859 17,024,578 8,512,289 25,536,868 12,768,434 6,384,217 19,152,652 9,576,326 4,788,163 14,364,490 7,182,245 21,546,736 10,773,368 5,386,684 2,693,342 1,346,671 4,040,014 2,020,007 6,060,022 3,030,011 9,090,034 4,545,017 13,635,052 6,817,526 3,408,763 10,226,290 5,113,145 15,339,436 7,669,718 3,834,859 11,504,578 5,752,289 17,256,868 8,628,434 4,314,217 12,942,652 6,471,326 3,235,663 9,706,990 4,853,495 14,560,486 7,280,243 21,840,730 10,920,365 32,761,096 16,380,548 8,190,274 4,095,137 12,285,412 6,142,706 3,071,353 9,214,060 4,607,030

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