λ
Prime Ledger

9,925,225

52 × 47 × 8447
Deficient Odd Composite

9,925,225 has the prime decomposition 5^2 × 47 × 8447. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 47 × 8447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,570,624
Proper Divisor Sum 2,645,399
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9925219 ← → #9925243

Radix Representation

Decimal 9925225
Binary 100101110111001001101001 (24 bits)
Octal 0o45671151
Hexadecimal 0x977269

Divisor Catalog (12)

1 5 25 47 235 1,175 8,447 42,235 211,175 397,009 1,985,045 9,925,225

Collatz Trajectory (145 steps to reach 1)

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

9,925,225 29,775,676 14,887,838 7,443,919 22,331,758 11,165,879 33,497,638 16,748,819 50,246,458 25,123,229 75,369,688 37,684,844 18,842,422 9,421,211 28,263,634 14,131,817 42,395,452 21,197,726 10,598,863 31,796,590 15,898,295 47,694,886 23,847,443 71,542,330 35,771,165 107,313,496 53,656,748 26,828,374 13,414,187 40,242,562 20,121,281 60,363,844 30,181,922 15,090,961 45,272,884 22,636,442 11,318,221 33,954,664 16,977,332 8,488,666 4,244,333 12,733,000 6,366,500 3,183,250 1,591,625 4,774,876 2,387,438 1,193,719 3,581,158 1,790,579 5,371,738 2,685,869 8,057,608 4,028,804 2,014,402 1,007,201 3,021,604 1,510,802 755,401 2,266,204

More profiles

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