λ
Math Directory

8,203,696

24 × 229 × 2239
Deficient Even Composite

8,203,696 factors as 2^4 × 229 × 2239. Its 20 positive divisors give a proper-divisor sum of 7,767,504, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 229 × 2239
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,971,200
Proper Divisor Sum 7,767,504
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8203691 ← → #8203703

Radix Representation

Decimal 8203696
Binary 11111010010110110110000 (23 bits)
Octal 0o37226660
Hexadecimal 0x7D2DB0

Divisor Catalog (20)

1 2 4 8 16 229 458 916 1,832 2,239 3,664 4,478 8,956 17,912 35,824 512,731 1,025,462 2,050,924 4,101,848 8,203,696

Collatz Trajectory (168 steps to reach 1)

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

8,203,696 4,101,848 2,050,924 1,025,462 512,731 1,538,194 769,097 2,307,292 1,153,646 576,823 1,730,470 865,235 2,595,706 1,297,853 3,893,560 1,946,780 973,390 486,695 1,460,086 730,043 2,190,130 1,095,065 3,285,196 1,642,598 821,299 2,463,898 1,231,949 3,695,848 1,847,924 923,962 461,981 1,385,944 692,972 346,486 173,243 519,730 259,865 779,596 389,798 194,899 584,698 292,349 877,048 438,524 219,262 109,631 328,894 164,447 493,342 246,671 740,014 370,007 1,110,022 555,011 1,665,034 832,517 2,497,552 1,248,776 624,388 312,194

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