λ
Sigma Notebook

8,082,904

23 × 19 × 41 × 1297
Abundant Even Composite

8,082,904 is even and not a perfect square. Its factorization is 2^3 × 19 × 41 × 1297 and its 32 divisors sum to 16,354,800.

Prime Factor Structure

Factorization String 2^3 × 19 × 41 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,354,800
Proper Divisor Sum 8,271,896
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8082889 ← → #8082911

Radix Representation

Decimal 8082904
Binary 11110110101010111011000 (23 bits)
Octal 0o36652730
Hexadecimal 0x7B55D8

Divisor Catalog (32)

1 2 4 8 19 38 41 76 82 152 164 328 779 1,297 1,558 2,594 3,116 5,188 6,232 10,376 24,643 49,286 53,177 98,572 106,354 197,144 212,708 425,416 1,010,363 2,020,726 4,041,452 8,082,904

Collatz Trajectory (186 steps to reach 1)

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

8,082,904 4,041,452 2,020,726 1,010,363 3,031,090 1,515,545 4,546,636 2,273,318 1,136,659 3,409,978 1,704,989 5,114,968 2,557,484 1,278,742 639,371 1,918,114 959,057 2,877,172 1,438,586 719,293 2,157,880 1,078,940 539,470 269,735 809,206 404,603 1,213,810 606,905 1,820,716 910,358 455,179 1,365,538 682,769 2,048,308 1,024,154 512,077 1,536,232 768,116 384,058 192,029 576,088 288,044 144,022 72,011 216,034 108,017 324,052 162,026 81,013 243,040 121,520 60,760 30,380 15,190 7,595 22,786 11,393 34,180 17,090 8,545

More profiles

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