λ
Modular Archive

8,371,521

32 × 359 × 2591
Deficient Odd Composite

The decimal integer 8,371,521 is 11111111011110101000001 in binary (23 bits), 37736501 in octal and 7FBD41 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 359 × 2591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,130,560
Proper Divisor Sum 3,759,039
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8371513 ← → #8371529

Radix Representation

Decimal 8371521
Binary 11111111011110101000001 (23 bits)
Octal 0o37736501
Hexadecimal 0x7FBD41

Divisor Catalog (12)

1 3 9 359 1,077 2,591 3,231 7,773 23,319 930,169 2,790,507 8,371,521

Collatz Trajectory (106 steps to reach 1)

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

8,371,521 25,114,564 12,557,282 6,278,641 18,835,924 9,417,962 4,708,981 14,126,944 7,063,472 3,531,736 1,765,868 882,934 441,467 1,324,402 662,201 1,986,604 993,302 496,651 1,489,954 744,977 2,234,932 1,117,466 558,733 1,676,200 838,100 419,050 209,525 628,576 314,288 157,144 78,572 39,286 19,643 58,930 29,465 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851

More profiles

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