λ
Sigma Notebook

8,728,254

2 × 32 × 97 × 4999
Abundant Even Composite

8,728,254 is even and not a perfect square. Its factorization is 2 × 3^2 × 97 × 4999 and its 24 divisors sum to 19,110,000.

Prime Factor Structure

Factorization String 2 × 3^2 × 97 × 4999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,110,000
Proper Divisor Sum 10,381,746
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8728241 ← → #8728261

Radix Representation

Decimal 8728254
Binary 100001010010111010111110 (24 bits)
Octal 0o41227276
Hexadecimal 0x852EBE

Divisor Catalog (24)

1 2 3 6 9 18 97 194 291 582 873 1,746 4,999 9,998 14,997 29,994 44,991 89,982 484,903 969,806 1,454,709 2,909,418 4,364,127 8,728,254

Collatz Trajectory (212 steps to reach 1)

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

8,728,254 4,364,127 13,092,382 6,546,191 19,638,574 9,819,287 29,457,862 14,728,931 44,186,794 22,093,397 66,280,192 33,140,096 16,570,048 8,285,024 4,142,512 2,071,256 1,035,628 517,814 258,907 776,722 388,361 1,165,084 582,542 291,271 873,814 436,907 1,310,722 655,361 1,966,084 983,042 491,521 1,474,564 737,282 368,641 1,105,924 552,962 276,481 829,444 414,722 207,361 622,084 311,042 155,521 466,564 233,282 116,641 349,924 174,962 87,481 262,444 131,222 65,611 196,834 98,417 295,252 147,626 73,813 221,440 110,720 55,360

More profiles

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