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4,222,640

24 × 5 × 52783
Abundant Even Composite

4,222,640 factors as 2^4 × 5 × 52783. Its 20 positive divisors give a proper-divisor sum of 5,595,184, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 52783
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,817,824
Proper Divisor Sum 5,595,184
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4222637 ← → #4222649

Radix Representation

Decimal 4222640
Binary 10000000110111010110000 (23 bits)
Octal 0o20067260
Hexadecimal 0x406EB0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 52,783 105,566 211,132 263,915 422,264 527,830 844,528 1,055,660 2,111,320 4,222,640

Collatz Trajectory (105 steps to reach 1)

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

4,222,640 2,111,320 1,055,660 527,830 263,915 791,746 395,873 1,187,620 593,810 296,905 890,716 445,358 222,679 668,038 334,019 1,002,058 501,029 1,503,088 751,544 375,772 187,886 93,943 281,830 140,915 422,746 211,373 634,120 317,060 158,530 79,265 237,796 118,898 59,449 178,348 89,174 44,587 133,762 66,881 200,644 100,322 50,161 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465

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