λ
Harmonic Matrix

6,558,175

52 × 13 × 17 × 1187
Deficient Odd Composite

6,558,175 has digital root 1. The neighboring primes are 6558169 and 6558179; its proper-divisor sum differs from the starting integer by -3,835,694.

Prime Factor Structure

Factorization String 5^2 × 13 × 17 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,280,656
Proper Divisor Sum 2,722,481
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6558169 ← → #6558179

Radix Representation

Decimal 6558175
Binary 11001000001000111011111 (23 bits)
Octal 0o31010737
Hexadecimal 0x6411DF

Divisor Catalog (24)

1 5 13 17 25 65 85 221 325 425 1,105 1,187 5,525 5,935 15,431 20,179 29,675 77,155 100,895 262,327 385,775 504,475 1,311,635 6,558,175

Collatz Trajectory (222 steps to reach 1)

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

6,558,175 19,674,526 9,837,263 29,511,790 14,755,895 44,267,686 22,133,843 66,401,530 33,200,765 99,602,296 49,801,148 24,900,574 12,450,287 37,350,862 18,675,431 56,026,294 28,013,147 84,039,442 42,019,721 126,059,164 63,029,582 31,514,791 94,544,374 47,272,187 141,816,562 70,908,281 212,724,844 106,362,422 53,181,211 159,543,634 79,771,817 239,315,452 119,657,726 59,828,863 179,486,590 89,743,295 269,229,886 134,614,943 403,844,830 201,922,415 605,767,246 302,883,623 908,650,870 454,325,435 1,362,976,306 681,488,153 2,044,464,460 1,022,232,230 511,116,115 1,533,348,346 766,674,173 2,300,022,520 1,150,011,260 575,005,630 287,502,815 862,508,446 431,254,223 1,293,762,670 646,881,335 1,940,644,006

More profiles

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