λ
Prime Ledger

8,525,427

3 × 97 × 29297
Deficient Odd Composite

8,525,427 has the prime decomposition 3 × 97 × 29297. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 97 × 29297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,484,816
Proper Divisor Sum 2,959,389
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8525411 ← → #8525431

Radix Representation

Decimal 8525427
Binary 100000100001011001110011 (24 bits)
Octal 0o40413163
Hexadecimal 0x821673

Divisor Catalog (8)

1 3 97 291 29,297 87,891 2,841,809 8,525,427

Collatz Trajectory (106 steps to reach 1)

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

8,525,427 25,576,282 12,788,141 38,364,424 19,182,212 9,591,106 4,795,553 14,386,660 7,193,330 3,596,665 10,789,996 5,394,998 2,697,499 8,092,498 4,046,249 12,138,748 6,069,374 3,034,687 9,104,062 4,552,031 13,656,094 6,828,047 20,484,142 10,242,071 30,726,214 15,363,107 46,089,322 23,044,661 69,133,984 34,566,992 17,283,496 8,641,748 4,320,874 2,160,437 6,481,312 3,240,656 1,620,328 810,164 405,082 202,541 607,624 303,812 151,906 75,953 227,860 113,930 56,965 170,896 85,448 42,724 21,362 10,681 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013

More profiles

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