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Atlas › Integer Profiles › Node 3,966,592

3,966,592

27 × 7 × 19 × 233
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 19 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,547,200
Proper Divisor Sum 5,580,608
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3966583 ← → #3966607

Radix Representation

Decimal 3966592
Binary 1111001000011010000000 (22 bits)
Octal 0o17103200
Hexadecimal 0x3C8680

Divisor Catalog (60 of 64)

1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 233 266 304 448 466 532 608 896 932 1,064 1,216 1,631 1,864 2,128 2,432 3,262 3,728 4,256 4,427 6,524 7,456 8,512 8,854 13,048 14,912 17,024 17,708 26,096 29,824 30,989 35,416 52,192 61,978 70,832 104,384 123,956 141,664 208,768 247,912 283,328 495,824

Collatz Trajectory (61 steps to reach 1)

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

3,966,592 1,983,296 991,648 495,824 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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