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Atlas › Integer Profiles › Node 8,097,724

8,097,724

22 × 19 × 47 × 2267
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 47 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,240,960
Proper Divisor Sum 7,143,236
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8097721 ← → #8097731

Radix Representation

Decimal 8097724
Binary 11110111000111110111100 (23 bits)
Octal 0o36707674
Hexadecimal 0x7B8FBC

Divisor Catalog (24)

1 2 4 19 38 47 76 94 188 893 1,786 2,267 3,572 4,534 9,068 43,073 86,146 106,549 172,292 213,098 426,196 2,024,431 4,048,862 8,097,724

Collatz Trajectory (367 steps to reach 1)

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

8,097,724 4,048,862 2,024,431 6,073,294 3,036,647 9,109,942 4,554,971 13,664,914 6,832,457 20,497,372 10,248,686 5,124,343 15,373,030 7,686,515 23,059,546 11,529,773 34,589,320 17,294,660 8,647,330 4,323,665 12,970,996 6,485,498 3,242,749 9,728,248 4,864,124 2,432,062 1,216,031 3,648,094 1,824,047 5,472,142 2,736,071 8,208,214 4,104,107 12,312,322 6,156,161 18,468,484 9,234,242 4,617,121 13,851,364 6,925,682 3,462,841 10,388,524 5,194,262 2,597,131 7,791,394 3,895,697 11,687,092 5,843,546 2,921,773 8,765,320 4,382,660 2,191,330 1,095,665 3,286,996 1,643,498 821,749 2,465,248 1,232,624 616,312 308,156

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