6,324,175

5² × 11 × 13 × 29 × 61

6,324,175 has digital root 1. The neighboring primes are 6324167 and 6324191; its proper-divisor sum differs from the starting integer by -2,961,470.

Prime Factor Structure

Factorization String 5^2 × 11 × 13 × 29 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,686,880

Proper Divisor Sum 3,362,705

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6324167 ← → #6324191

Radix Representation

Decimal	6324175
Binary	11000000111111111001111 (23 bits)
Octal	0o30077717
Hexadecimal	0x607FCF

Divisor Catalog (48)

1 5 11 13 25 29 55 61 65 143 145 275 305 319 325 377 671 715 725 793 1,525 1,595 1,769 1,885 3,355 3,575 3,965 4,147 7,975 8,723 8,845 9,425 16,775 19,459 19,825 20,735 22,997 43,615 44,225 97,295 103,675 114,985 218,075 252,967 486,475 574,925 1,264,835 6,324,175

Collatz Trajectory (315 steps to reach 1)

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

6,324,175 18,972,526 9,486,263 28,458,790 14,229,395 42,688,186 21,344,093 64,032,280 32,016,140 16,008,070 8,004,035 24,012,106 12,006,053 36,018,160 18,009,080 9,004,540 4,502,270 2,251,135 6,753,406 3,376,703 10,130,110 5,065,055 15,195,166 7,597,583 22,792,750 11,396,375 34,189,126 17,094,563 51,283,690 25,641,845 76,925,536 38,462,768 19,231,384 9,615,692 4,807,846 2,403,923 7,211,770 3,605,885 10,817,656 5,408,828 2,704,414 1,352,207 4,056,622 2,028,311 6,084,934 3,042,467 9,127,402 4,563,701 13,691,104 6,845,552 3,422,776 1,711,388 855,694 427,847 1,283,542 641,771 1,925,314 962,657 2,887,972 1,443,986

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