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Atlas › Integer Profiles › Node 4,099,792

4,099,792

24 × 43 × 59 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 43 × 59 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,347,680
Proper Divisor Sum 4,247,888
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4099789 ← → #4099807

Radix Representation

Decimal 4099792
Binary 1111101000111011010000 (22 bits)
Octal 0o17507320
Hexadecimal 0x3E8ED0

Divisor Catalog (40)

1 2 4 8 16 43 59 86 101 118 172 202 236 344 404 472 688 808 944 1,616 2,537 4,343 5,074 5,959 8,686 10,148 11,918 17,372 20,296 23,836 34,744 40,592 47,672 69,488 95,344 256,237 512,474 1,024,948 2,049,896 4,099,792

Collatz Trajectory (53 steps to reach 1)

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

4,099,792 2,049,896 1,024,948 512,474 256,237 768,712 384,356 192,178 96,089 288,268 144,134 72,067 216,202 108,101 324,304 162,152 81,076 40,538 20,269 60,808 30,404 15,202 7,601 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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