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Atlas › Integer Profiles › Node 4,008,656

4,008,656

24 × 199 × 1259
Deficient Even Composite

4,008,656 factors as 2^4 × 199 × 1259. Its 20 positive divisors give a proper-divisor sum of 3,803,344, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 199 × 1259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,812,000
Proper Divisor Sum 3,803,344
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4008643 ← → #4008661

Radix Representation

Decimal 4008656
Binary 1111010010101011010000 (22 bits)
Octal 0o17225320
Hexadecimal 0x3D2AD0

Divisor Catalog (20)

1 2 4 8 16 199 398 796 1,259 1,592 2,518 3,184 5,036 10,072 20,144 250,541 501,082 1,002,164 2,004,328 4,008,656

Collatz Trajectory (154 steps to reach 1)

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

4,008,656 2,004,328 1,002,164 501,082 250,541 751,624 375,812 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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