λ
Modular Archive

8,404,006

2 × 13 × 43 × 7517
Deficient Even Composite

The decimal integer 8,404,006 is 100000000011110000100110 in binary (24 bits), 40036046 in octal and 803C26 in hexadecimal. Its digit sum is 22.

Prime Factor Structure

Factorization String 2 × 13 × 43 × 7517
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,893,264
Proper Divisor Sum 5,489,258
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8403977 ← → #8404013

Radix Representation

Decimal 8404006
Binary 100000000011110000100110 (24 bits)
Octal 0o40036046
Hexadecimal 0x803C26

Divisor Catalog (16)

1 2 13 26 43 86 559 1,118 7,517 15,034 97,721 195,442 323,231 646,462 4,202,003 8,404,006

Collatz Trajectory (93 steps to reach 1)

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

8,404,006 4,202,003 12,606,010 6,303,005 18,909,016 9,454,508 4,727,254 2,363,627 7,090,882 3,545,441 10,636,324 5,318,162 2,659,081 7,977,244 3,988,622 1,994,311 5,982,934 2,991,467 8,974,402 4,487,201 13,461,604 6,730,802 3,365,401 10,096,204 5,048,102 2,524,051 7,572,154 3,786,077 11,358,232 5,679,116 2,839,558 1,419,779 4,259,338 2,129,669 6,389,008 3,194,504 1,597,252 798,626 399,313 1,197,940 598,970 299,485 898,456 449,228 224,614 112,307 336,922 168,461 505,384 252,692 126,346 63,173 189,520 94,760 47,380 23,690 11,845 35,536 17,768 8,884

More profiles

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