λ
Modular Archive

9,729,080

23 × 5 × 243227
Abundant Even Composite

The decimal integer 9,729,080 is 100101000111010000111000 in binary (24 bits), 45072070 in octal and 947438 in hexadecimal. Its digit sum is 35.

Prime Factor Structure

Factorization String 2^3 × 5 × 243227
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,890,520
Proper Divisor Sum 12,161,440
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9729067 ← → #9729091

Radix Representation

Decimal 9729080
Binary 100101000111010000111000 (24 bits)
Octal 0o45072070
Hexadecimal 0x947438

Divisor Catalog (16)

1 2 4 5 8 10 20 40 243,227 486,454 972,908 1,216,135 1,945,816 2,432,270 4,864,540 9,729,080

Collatz Trajectory (114 steps to reach 1)

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

9,729,080 4,864,540 2,432,270 1,216,135 3,648,406 1,824,203 5,472,610 2,736,305 8,208,916 4,104,458 2,052,229 6,156,688 3,078,344 1,539,172 769,586 384,793 1,154,380 577,190 288,595 865,786 432,893 1,298,680 649,340 324,670 162,335 487,006 243,503 730,510 365,255 1,095,766 547,883 1,643,650 821,825 2,465,476 1,232,738 616,369 1,849,108 924,554 462,277 1,386,832 693,416 346,708 173,354 86,677 260,032 130,016 65,008 32,504 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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