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Atlas › Integer Profiles › Node 3,965,024

3,965,024

25 × 7 × 31 × 571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 31 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,225,216
Proper Divisor Sum 5,260,192
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3965023 ← → #3965033

Radix Representation

Decimal 3965024
Binary 1111001000000001100000 (22 bits)
Octal 0o17100140
Hexadecimal 0x3C8060

Divisor Catalog (48)

1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 571 868 992 1,142 1,736 2,284 3,472 3,997 4,568 6,944 7,994 9,136 15,988 17,701 18,272 31,976 35,402 63,952 70,804 123,907 127,904 141,608 247,814 283,216 495,628 566,432 991,256 1,982,512 3,965,024

Collatz Trajectory (123 steps to reach 1)

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

3,965,024 1,982,512 991,256 495,628 247,814 123,907 371,722 185,861 557,584 278,792 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198

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