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Atlas › Integer Profiles › Node 4,485,950

4,485,950

2 × 52 × 72 × 1831
Abundant Even Composite

4,485,950 factors as 2 × 5^2 × 7^2 × 1831. Its 36 positive divisors give a proper-divisor sum of 5,225,482, so this integer is abundant. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7^2 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,711,432
Proper Divisor Sum 5,225,482
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4485941 ← → #4485953

Radix Representation

Decimal 4485950
Binary 10001000111001100111110 (23 bits)
Octal 0o21071476
Hexadecimal 0x44733E

Divisor Catalog (36)

1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1,225 1,831 2,450 3,662 9,155 12,817 18,310 25,634 45,775 64,085 89,719 91,550 128,170 179,438 320,425 448,595 640,850 897,190 2,242,975 4,485,950

Collatz Trajectory (255 steps to reach 1)

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

4,485,950 2,242,975 6,728,926 3,364,463 10,093,390 5,046,695 15,140,086 7,570,043 22,710,130 11,355,065 34,065,196 17,032,598 8,516,299 25,548,898 12,774,449 38,323,348 19,161,674 9,580,837 28,742,512 14,371,256 7,185,628 3,592,814 1,796,407 5,389,222 2,694,611 8,083,834 4,041,917 12,125,752 6,062,876 3,031,438 1,515,719 4,547,158 2,273,579 6,820,738 3,410,369 10,231,108 5,115,554 2,557,777 7,673,332 3,836,666 1,918,333 5,755,000 2,877,500 1,438,750 719,375 2,158,126 1,079,063 3,237,190 1,618,595 4,855,786 2,427,893 7,283,680 3,641,840 1,820,920 910,460 455,230 227,615 682,846 341,423 1,024,270

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