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Atlas › Integer Profiles › Node 8,083,010

8,083,010

2 × 5 × 13 × 97 × 641
Deficient Even Composite

8,083,010 factors as 2 × 5 × 13 × 97 × 641. Its 32 positive divisors give a proper-divisor sum of 7,771,822, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 97 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,854,832
Proper Divisor Sum 7,771,822
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8083001 ← → #8083021

Radix Representation

Decimal 8083010
Binary 11110110101011001000010 (23 bits)
Octal 0o36653102
Hexadecimal 0x7B5642

Divisor Catalog (32)

1 2 5 10 13 26 65 97 130 194 485 641 970 1,261 1,282 2,522 3,205 6,305 6,410 8,333 12,610 16,666 41,665 62,177 83,330 124,354 310,885 621,770 808,301 1,616,602 4,041,505 8,083,010

Collatz Trajectory (186 steps to reach 1)

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

8,083,010 4,041,505 12,124,516 6,062,258 3,031,129 9,093,388 4,546,694 2,273,347 6,820,042 3,410,021 10,230,064 5,115,032 2,557,516 1,278,758 639,379 1,918,138 959,069 2,877,208 1,438,604 719,302 359,651 1,078,954 539,477 1,618,432 809,216 404,608 202,304 101,152 50,576 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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