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9,201,872

24 × 223 × 2579
Deficient Even Composite

9,201,872 factors as 2^4 × 223 × 2579. Its 20 positive divisors give a proper-divisor sum of 8,713,648, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 223 × 2579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,915,520
Proper Divisor Sum 8,713,648
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9201827 ← → #9201877

Radix Representation

Decimal 9201872
Binary 100011000110100011010000 (24 bits)
Octal 0o43064320
Hexadecimal 0x8C68D0

Divisor Catalog (20)

1 2 4 8 16 223 446 892 1,784 2,579 3,568 5,158 10,316 20,632 41,264 575,117 1,150,234 2,300,468 4,600,936 9,201,872

Collatz Trajectory (101 steps to reach 1)

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

9,201,872 4,600,936 2,300,468 1,150,234 575,117 1,725,352 862,676 431,338 215,669 647,008 323,504 161,752 80,876 40,438 20,219 60,658 30,329 90,988 45,494 22,747 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624

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