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8,466,969

3 × 7 × 17 × 37 × 641
Deficient Odd Composite

8,466,969 factors as 3 × 7 × 17 × 37 × 641. Its 32 positive divisors give a proper-divisor sum of 5,585,127, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 37 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,052,096
Proper Divisor Sum 5,585,127
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8466961 ← → #8466979

Radix Representation

Decimal 8466969
Binary 100000010011001000011001 (24 bits)
Octal 0o40231031
Hexadecimal 0x813219

Divisor Catalog (32)

1 3 7 17 21 37 51 111 119 259 357 629 641 777 1,887 1,923 4,403 4,487 10,897 13,209 13,461 23,717 32,691 71,151 76,279 166,019 228,837 403,189 498,057 1,209,567 2,822,323 8,466,969

Collatz Trajectory (181 steps to reach 1)

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

8,466,969 25,400,908 12,700,454 6,350,227 19,050,682 9,525,341 28,576,024 14,288,012 7,144,006 3,572,003 10,716,010 5,358,005 16,074,016 8,037,008 4,018,504 2,009,252 1,004,626 502,313 1,506,940 753,470 376,735 1,130,206 565,103 1,695,310 847,655 2,542,966 1,271,483 3,814,450 1,907,225 5,721,676 2,860,838 1,430,419 4,291,258 2,145,629 6,436,888 3,218,444 1,609,222 804,611 2,413,834 1,206,917 3,620,752 1,810,376 905,188 452,594 226,297 678,892 339,446 169,723 509,170 254,585 763,756 381,878 190,939 572,818 286,409 859,228 429,614 214,807 644,422 322,211

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