λ
Harmonic Matrix

3,507,555

3 × 5 × 233837
Deficient Odd Composite

3,507,555 has digital root 3. The neighboring primes are 3507551 and 3507587; its proper-divisor sum differs from the starting integer by -1,402,998.

Prime Factor Structure

Factorization String 3 × 5 × 233837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,612,112
Proper Divisor Sum 2,104,557
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3507551 ← → #3507587

Radix Representation

Decimal 3507555
Binary 1101011000010101100011 (22 bits)
Octal 0o15302543
Hexadecimal 0x358563

Divisor Catalog (8)

1 3 5 15 233,837 701,511 1,169,185 3,507,555

Collatz Trajectory (84 steps to reach 1)

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

3,507,555 10,522,666 5,261,333 15,784,000 7,892,000 3,946,000 1,973,000 986,500 493,250 246,625 739,876 369,938 184,969 554,908 277,454 138,727 416,182 208,091 624,274 312,137 936,412 468,206 234,103 702,310 351,155 1,053,466 526,733 1,580,200 790,100 395,050 197,525 592,576 296,288 148,144 74,072 37,036 18,518 9,259 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712

More profiles

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