λ
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4,601,892

22 × 3 × 193 × 1987
Abundant Even Composite

4,601,892 factors as 2^2 × 3 × 193 × 1987. Its 24 positive divisors give a proper-divisor sum of 6,196,924, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 193 × 1987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,798,816
Proper Divisor Sum 6,196,924
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4601887 ← → #4601897

Radix Representation

Decimal 4601892
Binary 10001100011100000100100 (23 bits)
Octal 0o21434044
Hexadecimal 0x463824

Divisor Catalog (24)

1 2 3 4 6 12 193 386 579 772 1,158 1,987 2,316 3,974 5,961 7,948 11,922 23,844 383,491 766,982 1,150,473 1,533,964 2,300,946 4,601,892

Collatz Trajectory (100 steps to reach 1)

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

4,601,892 2,300,946 1,150,473 3,451,420 1,725,710 862,855 2,588,566 1,294,283 3,882,850 1,941,425 5,824,276 2,912,138 1,456,069 4,368,208 2,184,104 1,092,052 546,026 273,013 819,040 409,520 204,760 102,380 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812

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