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Atlas › Integer Profiles › Node 80,960,352

80,960,352

25 × 3 × 11 × 76667
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 76667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 231,844,032
Proper Divisor Sum 150,883,680
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #80960351 ← → #80960381

Radix Representation

Decimal 80960352
Binary 100110100110101101101100000 (27 bits)
Octal 0o464655540
Hexadecimal 0x4D35B60

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 76,667 153,334 230,001 306,668 460,002 613,336 843,337 920,004 1,226,672 1,686,674 1,840,008 2,453,344 2,530,011 3,373,348 3,680,016 5,060,022 6,746,696 7,360,032 10,120,044 13,493,392 20,240,088 26,986,784 40,480,176 80,960,352

Collatz Trajectory (254 steps to reach 1)

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

80,960,352 40,480,176 20,240,088 10,120,044 5,060,022 2,530,011 7,590,034 3,795,017 11,385,052 5,692,526 2,846,263 8,538,790 4,269,395 12,808,186 6,404,093 19,212,280 9,606,140 4,803,070 2,401,535 7,204,606 3,602,303 10,806,910 5,403,455 16,210,366 8,105,183 24,315,550 12,157,775 36,473,326 18,236,663 54,709,990 27,354,995 82,064,986 41,032,493 123,097,480 61,548,740 30,774,370 15,387,185 46,161,556 23,080,778 11,540,389 34,621,168 17,310,584 8,655,292 4,327,646 2,163,823 6,491,470 3,245,735 9,737,206 4,868,603 14,605,810 7,302,905 21,908,716 10,954,358 5,477,179 16,431,538 8,215,769 24,647,308 12,323,654 6,161,827 18,485,482

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