λ
Integer Codex

9,096,040

23 × 5 × 23 × 9887
Abundant Even Composite

For 9,096,040, the 32 positive divisors have a total of 21,358,080. Removing 9,096,040 leaves 12,262,040, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 9887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,358,080
Proper Divisor Sum 12,262,040
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9096029 ← → #9096047

Radix Representation

Decimal 9096040
Binary 100010101100101101101000 (24 bits)
Octal 0o42545550
Hexadecimal 0x8ACB68

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 9,887 19,774 39,548 49,435 79,096 98,870 197,740 227,401 395,480 454,802 909,604 1,137,005 1,819,208 2,274,010 4,548,020 9,096,040

Collatz Trajectory (119 steps to reach 1)

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

9,096,040 4,548,020 2,274,010 1,137,005 3,411,016 1,705,508 852,754 426,377 1,279,132 639,566 319,783 959,350 479,675 1,439,026 719,513 2,158,540 1,079,270 539,635 1,618,906 809,453 2,428,360 1,214,180 607,090 303,545 910,636 455,318 227,659 682,978 341,489 1,024,468 512,234 256,117 768,352 384,176 192,088 96,044 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603

More profiles

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