λ
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4,473,424

24 × 29 × 31 × 311
Abundant Even Composite

4,473,424 factors as 2^4 × 29 × 31 × 311. Its 40 positive divisors give a proper-divisor sum of 4,811,696, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 31 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,285,120
Proper Divisor Sum 4,811,696
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4473421 ← → #4473449

Radix Representation

Decimal 4473424
Binary 10001000100001001010000 (23 bits)
Octal 0o21041120
Hexadecimal 0x444250

Divisor Catalog (40)

1 2 4 8 16 29 31 58 62 116 124 232 248 311 464 496 622 899 1,244 1,798 2,488 3,596 4,976 7,192 9,019 9,641 14,384 18,038 19,282 36,076 38,564 72,152 77,128 144,304 154,256 279,589 559,178 1,118,356 2,236,712 4,473,424

Collatz Trajectory (162 steps to reach 1)

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

4,473,424 2,236,712 1,118,356 559,178 279,589 838,768 419,384 209,692 104,846 52,423 157,270 78,635 235,906 117,953 353,860 176,930 88,465 265,396 132,698 66,349 199,048 99,524 49,762 24,881 74,644 37,322 18,661 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402

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