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6,279,595

5 × 72 × 192 × 71
Deficient Odd Composite

6,279,595 factors as 5 × 7^2 × 19^2 × 71. Its 36 positive divisors give a proper-divisor sum of 3,102,149, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 19^2 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,381,744
Proper Divisor Sum 3,102,149
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6279569 ← → #6279617

Radix Representation

Decimal 6279595
Binary 10111111101000110101011 (23 bits)
Octal 0o27750653
Hexadecimal 0x5FD1AB

Divisor Catalog (36)

1 5 7 19 35 49 71 95 133 245 355 361 497 665 931 1,349 1,805 2,485 2,527 3,479 4,655 6,745 9,443 12,635 17,395 17,689 25,631 47,215 66,101 88,445 128,155 179,417 330,505 897,085 1,255,919 6,279,595

Collatz Trajectory (103 steps to reach 1)

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

6,279,595 18,838,786 9,419,393 28,258,180 14,129,090 7,064,545 21,193,636 10,596,818 5,298,409 15,895,228 7,947,614 3,973,807 11,921,422 5,960,711 17,882,134 8,941,067 26,823,202 13,411,601 40,234,804 20,117,402 10,058,701 30,176,104 15,088,052 7,544,026 3,772,013 11,316,040 5,658,020 2,829,010 1,414,505 4,243,516 2,121,758 1,060,879 3,182,638 1,591,319 4,773,958 2,386,979 7,160,938 3,580,469 10,741,408 5,370,704 2,685,352 1,342,676 671,338 335,669 1,007,008 503,504 251,752 125,876 62,938 31,469 94,408 47,204 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832

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