λ
Prime Ledger

4,045,030

2 × 5 × 112 × 3343
Deficient Even Composite

4,045,030 has the prime decomposition 2 × 5 × 11^2 × 3343. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 3343
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,005,536
Proper Divisor Sum 3,960,506
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4045009 ← → #4045049

Radix Representation

Decimal 4045030
Binary 1111011011100011100110 (22 bits)
Octal 0o17334346
Hexadecimal 0x3DB8E6

Divisor Catalog (24)

1 2 5 10 11 22 55 110 121 242 605 1,210 3,343 6,686 16,715 33,430 36,773 73,546 183,865 367,730 404,503 809,006 2,022,515 4,045,030

Collatz Trajectory (84 steps to reach 1)

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

4,045,030 2,022,515 6,067,546 3,033,773 9,101,320 4,550,660 2,275,330 1,137,665 3,412,996 1,706,498 853,249 2,559,748 1,279,874 639,937 1,919,812 959,906 479,953 1,439,860 719,930 359,965 1,079,896 539,948 269,974 134,987 404,962 202,481 607,444 303,722 151,861 455,584 227,792 113,896 56,948 28,474 14,237 42,712 21,356 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713

More profiles

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