λ
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4,494,880

25 × 5 × 13 × 2161
Abundant Even Composite

4,494,880 factors as 2^5 × 5 × 13 × 2161. Its 48 positive divisors give a proper-divisor sum of 6,946,424, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 2161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,441,304
Proper Divisor Sum 6,946,424
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4494859 ← → #4494881

Radix Representation

Decimal 4494880
Binary 10001001001011000100000 (23 bits)
Octal 0o21113040
Hexadecimal 0x449620

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 2,161 4,322 8,644 10,805 17,288 21,610 28,093 34,576 43,220 56,186 69,152 86,440 112,372 140,465 172,880 224,744 280,930 345,760 449,488 561,860 898,976 1,123,720 2,247,440 4,494,880

Collatz Trajectory (74 steps to reach 1)

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

4,494,880 2,247,440 1,123,720 561,860 280,930 140,465 421,396 210,698 105,349 316,048 158,024 79,012 39,506 19,753 59,260 29,630 14,815 44,446 22,223 66,670 33,335 100,006 50,003 150,010 75,005 225,016 112,508 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22

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