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Atlas › Integer Profiles › Node 4,120,004

4,120,004

22 × 7 × 269 × 547
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 269 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,285,760
Proper Divisor Sum 4,165,756
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #4120003 ← → #4120021

Radix Representation

Decimal 4120004
Binary 1111101101110111000100 (22 bits)
Octal 0o17556704
Hexadecimal 0x3EDDC4

Divisor Catalog (24)

1 2 4 7 14 28 269 538 547 1,076 1,094 1,883 2,188 3,766 3,829 7,532 7,658 15,316 147,143 294,286 588,572 1,030,001 2,060,002 4,120,004

Collatz Trajectory (53 steps to reach 1)

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

4,120,004 2,060,002 1,030,001 3,090,004 1,545,002 772,501 2,317,504 1,158,752 579,376 289,688 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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