λ
Math Directory

4,541,025

3 × 52 × 191 × 317
Deficient Odd Composite

4,541,025 factors as 3 × 5^2 × 191 × 317. Its 24 positive divisors give a proper-divisor sum of 3,029,919, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 191 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,570,944
Proper Divisor Sum 3,029,919
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4541021 ← → #4541029

Radix Representation

Decimal 4541025
Binary 10001010100101001100001 (23 bits)
Octal 0o21245141
Hexadecimal 0x454A61

Divisor Catalog (24)

1 3 5 15 25 75 191 317 573 951 955 1,585 2,865 4,755 4,775 7,925 14,325 23,775 60,547 181,641 302,735 908,205 1,513,675 4,541,025

Collatz Trajectory (118 steps to reach 1)

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

4,541,025 13,623,076 6,811,538 3,405,769 10,217,308 5,108,654 2,554,327 7,662,982 3,831,491 11,494,474 5,747,237 17,241,712 8,620,856 4,310,428 2,155,214 1,077,607 3,232,822 1,616,411 4,849,234 2,424,617 7,273,852 3,636,926 1,818,463 5,455,390 2,727,695 8,183,086 4,091,543 12,274,630 6,137,315 18,411,946 9,205,973 27,617,920 13,808,960 6,904,480 3,452,240 1,726,120 863,060 431,530 215,765 647,296 323,648 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804

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