6,509,447

7 × 37 × 41 × 613

6,509,447 factors as 7 × 37 × 41 × 613. Its 16 positive divisors give a proper-divisor sum of 1,330,105, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 7 × 37 × 41 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,839,552

Proper Divisor Sum 1,330,105

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6509429 ← → #6509449

Radix Representation

Decimal	6509447
Binary	11000110101001110000111 (23 bits)
Octal	0o30651607
Hexadecimal	0x635387

Divisor Catalog (16)

1 7 37 41 259 287 613 1,517 4,291 10,619 22,681 25,133 158,767 175,931 929,921 6,509,447

Collatz Trajectory (178 steps to reach 1)

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

6,509,447 19,528,342 9,764,171 29,292,514 14,646,257 43,938,772 21,969,386 10,984,693 32,954,080 16,477,040 8,238,520 4,119,260 2,059,630 1,029,815 3,089,446 1,544,723 4,634,170 2,317,085 6,951,256 3,475,628 1,737,814 868,907 2,606,722 1,303,361 3,910,084 1,955,042 977,521 2,932,564 1,466,282 733,141 2,199,424 1,099,712 549,856 274,928 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290

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