λ
Harmonic Matrix

3,667,330

2 × 5 × 366733
Deficient Even Composite

3,667,330 has digital root 1. The neighboring primes are 3667303 and 3667333; its proper-divisor sum differs from the starting integer by -733,448.

Prime Factor Structure

Factorization String 2 × 5 × 366733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,601,212
Proper Divisor Sum 2,933,882
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3667303 ← → #3667333

Radix Representation

Decimal 3667330
Binary 1101111111010110000010 (22 bits)
Octal 0o15772602
Hexadecimal 0x37F582

Divisor Catalog (8)

1 2 5 10 366,733 733,466 1,833,665 3,667,330

Collatz Trajectory (141 steps to reach 1)

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

3,667,330 1,833,665 5,500,996 2,750,498 1,375,249 4,125,748 2,062,874 1,031,437 3,094,312 1,547,156 773,578 386,789 1,160,368 580,184 290,092 145,046 72,523 217,570 108,785 326,356 163,178 81,589 244,768 122,384 61,192 30,596 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273

More profiles

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