λ
Integer Codex

9,595,080

23 × 32 × 5 × 11 × 2423
Abundant Even Composite

For 9,595,080, the 96 positive divisors have a total of 34,032,960. Removing 9,595,080 leaves 24,437,880, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 2423
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 34,032,960
Proper Divisor Sum 24,437,880
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9595073 ← → #9595087

Radix Representation

Decimal 9595080
Binary 100100100110100011001000 (24 bits)
Octal 0o44464310
Hexadecimal 0x9268C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1,320 1,980 2,423 3,960 4,846 7,269 9,692 12,115 14,538 19,384 21,807 24,230 26,653 29,076 36,345

Collatz Trajectory (145 steps to reach 1)

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

9,595,080 4,797,540 2,398,770 1,199,385 3,598,156 1,799,078 899,539 2,698,618 1,349,309 4,047,928 2,023,964 1,011,982 505,991 1,517,974 758,987 2,276,962 1,138,481 3,415,444 1,707,722 853,861 2,561,584 1,280,792 640,396 320,198 160,099 480,298 240,149 720,448 360,224 180,112 90,056 45,028 22,514 11,257 33,772 16,886 8,443 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871

More profiles

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