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Atlas › Integer Profiles › Node 34,967,576

34,967,576

23 × 72 × 89203
Abundant Even Composite

34,967,576 factors as 2^3 × 7^2 × 89203. Its 24 positive divisors give a proper-divisor sum of 41,301,844, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 89203
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 76,269,420
Proper Divisor Sum 41,301,844
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #34967549 ← → #34967587

Radix Representation

Decimal 34967576
Binary 10000101011001000000011000 (26 bits)
Octal 0o205310030
Hexadecimal 0x2159018

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 89,203 178,406 356,812 624,421 713,624 1,248,842 2,497,684 4,370,947 4,995,368 8,741,894 17,483,788 34,967,576

Collatz Trajectory (214 steps to reach 1)

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

34,967,576 17,483,788 8,741,894 4,370,947 13,112,842 6,556,421 19,669,264 9,834,632 4,917,316 2,458,658 1,229,329 3,687,988 1,843,994 921,997 2,765,992 1,382,996 691,498 345,749 1,037,248 518,624 259,312 129,656 64,828 32,414 16,207 48,622 24,311 72,934 36,467 109,402 54,701 164,104 82,052 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976

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