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Atlas › Integer Profiles › Node 8,229,136

8,229,136

24 × 31 × 47 × 353
Abundant Even Composite

8,229,136 factors as 2^4 × 31 × 47 × 353. Its 40 positive divisors give a proper-divisor sum of 8,626,928, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 47 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,856,064
Proper Divisor Sum 8,626,928
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8229131 ← → #8229149

Radix Representation

Decimal 8229136
Binary 11111011001000100010000 (23 bits)
Octal 0o37310420
Hexadecimal 0x7D9110

Divisor Catalog (40)

1 2 4 8 16 31 47 62 94 124 188 248 353 376 496 706 752 1,412 1,457 2,824 2,914 5,648 5,828 10,943 11,656 16,591 21,886 23,312 33,182 43,772 66,364 87,544 132,728 175,088 265,456 514,321 1,028,642 2,057,284 4,114,568 8,229,136

Collatz Trajectory (106 steps to reach 1)

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

8,229,136 4,114,568 2,057,284 1,028,642 514,321 1,542,964 771,482 385,741 1,157,224 578,612 289,306 144,653 433,960 216,980 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453

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