λ
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4,457,050

2 × 52 × 13 × 6857
Abundant Even Composite

4,457,050 factors as 2 × 5^2 × 13 × 6857. Its 24 positive divisors give a proper-divisor sum of 4,472,066, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 6857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,929,116
Proper Divisor Sum 4,472,066
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4456997 ← → #4457093

Radix Representation

Decimal 4457050
Binary 10001000000001001011010 (23 bits)
Octal 0o21001132
Hexadecimal 0x44025A

Divisor Catalog (24)

1 2 5 10 13 25 26 50 65 130 325 650 6,857 13,714 34,285 68,570 89,141 171,425 178,282 342,850 445,705 891,410 2,228,525 4,457,050

Collatz Trajectory (180 steps to reach 1)

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

4,457,050 2,228,525 6,685,576 3,342,788 1,671,394 835,697 2,507,092 1,253,546 626,773 1,880,320 940,160 470,080 235,040 117,520 58,760 29,380 14,690 7,345 22,036 11,018 5,509 16,528 8,264 4,132 2,066 1,033 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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