λ
Prime Ledger

8,725,236

22 × 3 × 13 × 55931
Abundant Even Composite

8,725,236 has the prime decomposition 2^2 × 3 × 13 × 55931. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 55931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,925,344
Proper Divisor Sum 13,200,108
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8725219 ← → #8725243

Radix Representation

Decimal 8725236
Binary 100001010010001011110100 (24 bits)
Octal 0o41221364
Hexadecimal 0x8522F4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 55,931 111,862 167,793 223,724 335,586 671,172 727,103 1,454,206 2,181,309 2,908,412 4,362,618 8,725,236

Collatz Trajectory (212 steps to reach 1)

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

8,725,236 4,362,618 2,181,309 6,543,928 3,271,964 1,635,982 817,991 2,453,974 1,226,987 3,680,962 1,840,481 5,521,444 2,760,722 1,380,361 4,141,084 2,070,542 1,035,271 3,105,814 1,552,907 4,658,722 2,329,361 6,988,084 3,494,042 1,747,021 5,241,064 2,620,532 1,310,266 655,133 1,965,400 982,700 491,350 245,675 737,026 368,513 1,105,540 552,770 276,385 829,156 414,578 207,289 621,868 310,934 155,467 466,402 233,201 699,604 349,802 174,901 524,704 262,352 131,176 65,588 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224

More profiles

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