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4,458,400

25 × 52 × 5573
Abundant Even Composite

4,458,400 factors as 2^5 × 5^2 × 5573. Its 36 positive divisors give a proper-divisor sum of 6,427,622, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 5573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,886,022
Proper Divisor Sum 6,427,622
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4458379 ← → #4458409

Radix Representation

Decimal 4458400
Binary 10001000000011110100000 (23 bits)
Octal 0o21003640
Hexadecimal 0x4407A0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 5,573 11,146 22,292 27,865 44,584 55,730 89,168 111,460 139,325 178,336 222,920 278,650 445,840 557,300 891,680 1,114,600 2,229,200 4,458,400

Collatz Trajectory (180 steps to reach 1)

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

4,458,400 2,229,200 1,114,600 557,300 278,650 139,325 417,976 208,988 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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