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Atlas › Integer Profiles › Node 43,780,660

43,780,660

22 × 5 × 7 × 11 × 28429
Abundant Even Composite

43,780,660 factors as 2^2 × 5 × 7 × 11 × 28429. Its 48 positive divisors give a proper-divisor sum of 70,849,100, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 28429
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 114,629,760
Proper Divisor Sum 70,849,100
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #43780637 ← → #43780663

Radix Representation

Decimal 43780660
Binary 10100111000000101000110100 (26 bits)
Octal 0o247005064
Hexadecimal 0x29C0A34

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 28,429 56,858 113,716 142,145 199,003 284,290 312,719 398,006 568,580 625,438 796,012 995,015 1,250,876 1,563,595 1,990,030 2,189,033 3,127,190 3,980,060 4,378,066 6,254,380 8,756,132 10,945,165 21,890,330 43,780,660

Collatz Trajectory (196 steps to reach 1)

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

43,780,660 21,890,330 10,945,165 32,835,496 16,417,748 8,208,874 4,104,437 12,313,312 6,156,656 3,078,328 1,539,164 769,582 384,791 1,154,374 577,187 1,731,562 865,781 2,597,344 1,298,672 649,336 324,668 162,334 81,167 243,502 121,751 365,254 182,627 547,882 273,941 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720

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