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Atlas › Integer Profiles › Node 9,608,522

9,608,522

2 × 7 × 11 × 43 × 1451
Deficient Even Composite

9,608,522 factors as 2 × 7 × 11 × 43 × 1451. Its 32 positive divisors give a proper-divisor sum of 8,791,222, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 43 × 1451
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,399,744
Proper Divisor Sum 8,791,222
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9608513 ← → #9608527

Radix Representation

Decimal 9608522
Binary 100100101001110101001010 (24 bits)
Octal 0o44516512
Hexadecimal 0x929D4A

Divisor Catalog (32)

1 2 7 11 14 22 43 77 86 154 301 473 602 946 1,451 2,902 3,311 6,622 10,157 15,961 20,314 31,922 62,393 111,727 124,786 223,454 436,751 686,323 873,502 1,372,646 4,804,261 9,608,522

Collatz Trajectory (176 steps to reach 1)

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

9,608,522 4,804,261 14,412,784 7,206,392 3,603,196 1,801,598 900,799 2,702,398 1,351,199 4,053,598 2,026,799 6,080,398 3,040,199 9,120,598 4,560,299 13,680,898 6,840,449 20,521,348 10,260,674 5,130,337 15,391,012 7,695,506 3,847,753 11,543,260 5,771,630 2,885,815 8,657,446 4,328,723 12,986,170 6,493,085 19,479,256 9,739,628 4,869,814 2,434,907 7,304,722 3,652,361 10,957,084 5,478,542 2,739,271 8,217,814 4,108,907 12,326,722 6,163,361 18,490,084 9,245,042 4,622,521 13,867,564 6,933,782 3,466,891 10,400,674 5,200,337 15,601,012 7,800,506 3,900,253 11,700,760 5,850,380 2,925,190 1,462,595 4,387,786 2,193,893

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