λ
Sigma Notebook

9,397,080

23 × 33 × 5 × 7 × 11 × 113
Abundant Even Composite

9,397,080 is even and not a perfect square. Its factorization is 2^3 × 3^3 × 5 × 7 × 11 × 113 and its 256 divisors sum to 39,398,400.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 7 × 11 × 113
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 256
Divisor Sum (σ) 39,398,400
Proper Divisor Sum 30,001,320
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9397067 ← → #9397103

Radix Representation

Decimal 9397080
Binary 100011110110001101011000 (24 bits)
Octal 0o43661530
Hexadecimal 0x8F6358

Divisor Catalog (60 of 256)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 54 55 56 60 63 66 70 72 77 84 88 90 99 105 108 110 113 120 126 132 135 140 154 165 168 180 189 198 210 216 220

Collatz Trajectory (75 steps to reach 1)

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

9,397,080 4,698,540 2,349,270 1,174,635 3,523,906 1,761,953 5,285,860 2,642,930 1,321,465 3,964,396 1,982,198 991,099 2,973,298 1,486,649 4,459,948 2,229,974 1,114,987 3,344,962 1,672,481 5,017,444 2,508,722 1,254,361 3,763,084 1,881,542 940,771 2,822,314 1,411,157 4,233,472 2,116,736 1,058,368 529,184 264,592 132,296 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46

More profiles

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