λ
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Atlas › Integer Profiles › Node 4,454,960

4,454,960

24 × 5 × 233 × 239
Abundant Even Composite

4,454,960 factors as 2^4 × 5 × 233 × 239. Its 40 positive divisors give a proper-divisor sum of 5,990,800, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 233 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,445,760
Proper Divisor Sum 5,990,800
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4454959 ← → #4454963

Radix Representation

Decimal 4454960
Binary 10000111111101000110000 (23 bits)
Octal 0o20775060
Hexadecimal 0x43FA30

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 233 239 466 478 932 956 1,165 1,195 1,864 1,912 2,330 2,390 3,728 3,824 4,660 4,780 9,320 9,560 18,640 19,120 55,687 111,374 222,748 278,435 445,496 556,870 890,992 1,113,740 2,227,480 4,454,960

Collatz Trajectory (87 steps to reach 1)

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

4,454,960 2,227,480 1,113,740 556,870 278,435 835,306 417,653 1,252,960 626,480 313,240 156,620 78,310 39,155 117,466 58,733 176,200 88,100 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131

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