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Atlas › Integer Profiles › Node 7,465,150

7,465,150

2 × 52 × 72 × 11 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7^2 × 11 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 17,684,136
Proper Divisor Sum 10,218,986
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7465127 ← → #7465169

Radix Representation

Decimal 7465150
Binary 11100011110100010111110 (23 bits)
Octal 0o34364276
Hexadecimal 0x71E8BE

Divisor Catalog (60 of 72)

1 2 5 7 10 11 14 22 25 35 49 50 55 70 77 98 110 154 175 245 275 277 350 385 490 539 550 554 770 1,078 1,225 1,385 1,925 1,939 2,450 2,695 2,770 3,047 3,850 3,878 5,390 6,094 6,925 9,695 13,475 13,573 13,850 15,235 19,390 21,329 26,950 27,146 30,470 42,658 48,475 67,865 76,175 96,950 106,645 135,730

Collatz Trajectory (235 steps to reach 1)

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

7,465,150 3,732,575 11,197,726 5,598,863 16,796,590 8,398,295 25,194,886 12,597,443 37,792,330 18,896,165 56,688,496 28,344,248 14,172,124 7,086,062 3,543,031 10,629,094 5,314,547 15,943,642 7,971,821 23,915,464 11,957,732 5,978,866 2,989,433 8,968,300 4,484,150 2,242,075 6,726,226 3,363,113 10,089,340 5,044,670 2,522,335 7,567,006 3,783,503 11,350,510 5,675,255 17,025,766 8,512,883 25,538,650 12,769,325 38,307,976 19,153,988 9,576,994 4,788,497 14,365,492 7,182,746 3,591,373 10,774,120 5,387,060 2,693,530 1,346,765 4,040,296 2,020,148 1,010,074 505,037 1,515,112 757,556 378,778 189,389 568,168 284,084

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