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Atlas › Integer Profiles › Node 4,385,168

4,385,168

24 × 61 × 4493
Deficient Even Composite

4,385,168 factors as 2^4 × 61 × 4493. Its 20 positive divisors give a proper-divisor sum of 4,252,300, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 4493
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,637,468
Proper Divisor Sum 4,252,300
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4385159 ← → #4385209

Radix Representation

Decimal 4385168
Binary 10000101110100110010000 (23 bits)
Octal 0o20564620
Hexadecimal 0x42E990

Divisor Catalog (20)

1 2 4 8 16 61 122 244 488 976 4,493 8,986 17,972 35,944 71,888 274,073 548,146 1,096,292 2,192,584 4,385,168

Collatz Trajectory (211 steps to reach 1)

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

4,385,168 2,192,584 1,096,292 548,146 274,073 822,220 411,110 205,555 616,666 308,333 925,000 462,500 231,250 115,625 346,876 173,438 86,719 260,158 130,079 390,238 195,119 585,358 292,679 878,038 439,019 1,317,058 658,529 1,975,588 987,794 493,897 1,481,692 740,846 370,423 1,111,270 555,635 1,666,906 833,453 2,500,360 1,250,180 625,090 312,545 937,636 468,818 234,409 703,228 351,614 175,807 527,422 263,711 791,134 395,567 1,186,702 593,351 1,780,054 890,027 2,670,082 1,335,041 4,005,124 2,002,562 1,001,281

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