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Atlas › Integer Profiles › Node 8,741,348

8,741,348

22 × 7 × 11 × 101 × 281
Abundant Even Composite

8,741,348 factors as 2^2 × 7 × 11 × 101 × 281. Its 48 positive divisors give a proper-divisor sum of 10,588,060, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 101 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,329,408
Proper Divisor Sum 10,588,060
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8741347 ← → #8741353

Radix Representation

Decimal 8741348
Binary 100001010110000111100100 (24 bits)
Octal 0o41260744
Hexadecimal 0x8561E4

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 101 154 202 281 308 404 562 707 1,111 1,124 1,414 1,967 2,222 2,828 3,091 3,934 4,444 6,182 7,777 7,868 12,364 15,554 21,637 28,381 31,108 43,274 56,762 86,548 113,524 198,667 312,191 397,334 624,382 794,668 1,248,764 2,185,337 4,370,674 8,741,348

Collatz Trajectory (150 steps to reach 1)

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

8,741,348 4,370,674 2,185,337 6,556,012 3,278,006 1,639,003 4,917,010 2,458,505 7,375,516 3,687,758 1,843,879 5,531,638 2,765,819 8,297,458 4,148,729 12,446,188 6,223,094 3,111,547 9,334,642 4,667,321 14,001,964 7,000,982 3,500,491 10,501,474 5,250,737 15,752,212 7,876,106 3,938,053 11,814,160 5,907,080 2,953,540 1,476,770 738,385 2,215,156 1,107,578 553,789 1,661,368 830,684 415,342 207,671 623,014 311,507 934,522 467,261 1,401,784 700,892 350,446 175,223 525,670 262,835 788,506 394,253 1,182,760 591,380 295,690 147,845 443,536 221,768 110,884 55,442

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