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Atlas › Integer Profiles › Node 9,338,420

9,338,420

22 × 5 × 72 × 13 × 733
Abundant Even Composite

9,338,420 factors as 2^2 × 5 × 7^2 × 13 × 733. Its 72 positive divisors give a proper-divisor sum of 15,262,324, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 13 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,600,744
Proper Divisor Sum 15,262,324
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9338419 ← → #9338453

Radix Representation

Decimal 9338420
Binary 100011100111111000110100 (24 bits)
Octal 0o43477064
Hexadecimal 0x8E7E34

Divisor Catalog (60 of 72)

1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 733 910 980 1,274 1,466 1,820 2,548 2,932 3,185 3,665 5,131 6,370 7,330 9,529 10,262 12,740 14,660 19,058 20,524 25,655 35,917 38,116 47,645 51,310 66,703 71,834 95,290 102,620 133,406 143,668 179,585 190,580

Collatz Trajectory (75 steps to reach 1)

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

9,338,420 4,669,210 2,334,605 7,003,816 3,501,908 1,750,954 875,477 2,626,432 1,313,216 656,608 328,304 164,152 82,076 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46

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