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Atlas › Integer Profiles › Node 3,957,972

3,957,972

22 × 3 × 227 × 1453
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 227 × 1453
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,282,336
Proper Divisor Sum 5,324,364
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3957959 ← → #3957973

Radix Representation

Decimal 3957972
Binary 1111000110010011010100 (22 bits)
Octal 0o17062324
Hexadecimal 0x3C64D4

Divisor Catalog (24)

1 2 3 4 6 12 227 454 681 908 1,362 1,453 2,724 2,906 4,359 5,812 8,718 17,436 329,831 659,662 989,493 1,319,324 1,978,986 3,957,972

Collatz Trajectory (154 steps to reach 1)

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

3,957,972 1,978,986 989,493 2,968,480 1,484,240 742,120 371,060 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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