λ
Harmonic Matrix

6,586,207

6586207
Deficient Odd Prime

6,586,207 has digital root 7. The neighboring primes are 6586201 and 6586213; its proper-divisor sum differs from the starting integer by -6,586,206.

Prime Factor Structure

Factorization String 6586207
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,586,208
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6586201 ← → #6586213

Radix Representation

Decimal 6586207
Binary 11001000111111101011111 (23 bits)
Octal 0o31077537
Hexadecimal 0x647F5F

Divisor Catalog (2)

Collatz Trajectory (121 steps to reach 1)

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

6,586,207 19,758,622 9,879,311 29,637,934 14,818,967 44,456,902 22,228,451 66,685,354 33,342,677 100,028,032 50,014,016 25,007,008 12,503,504 6,251,752 3,125,876 1,562,938 781,469 2,344,408 1,172,204 586,102 293,051 879,154 439,577 1,318,732 659,366 329,683 989,050 494,525 1,483,576 741,788 370,894 185,447 556,342 278,171 834,514 417,257 1,251,772 625,886 312,943 938,830 469,415 1,408,246 704,123 2,112,370 1,056,185 3,168,556 1,584,278 792,139 2,376,418 1,188,209 3,564,628 1,782,314 891,157 2,673,472 1,336,736 668,368 334,184 167,092 83,546 41,773

More profiles

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