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Atlas › Integer Profiles › Node 8,662,576

8,662,576

24 × 13 × 41647
Abundant Even Composite

8,662,576 factors as 2^4 × 13 × 41647. Its 20 positive divisors give a proper-divisor sum of 9,412,656, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 41647
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,075,232
Proper Divisor Sum 9,412,656
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8662553 ← → #8662579

Radix Representation

Decimal 8662576
Binary 100001000010111000110000 (24 bits)
Octal 0o41027060
Hexadecimal 0x842E30

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 41,647 83,294 166,588 333,176 541,411 666,352 1,082,822 2,165,644 4,331,288 8,662,576

Collatz Trajectory (93 steps to reach 1)

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

8,662,576 4,331,288 2,165,644 1,082,822 541,411 1,624,234 812,117 2,436,352 1,218,176 609,088 304,544 152,272 76,136 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232

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