λ
Prime Ledger

9,439,125

3 × 53 × 25171
Deficient Odd Composite

9,439,125 has the prime decomposition 3 × 5^3 × 25171. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 25171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,707,328
Proper Divisor Sum 6,268,203
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9439121 ← → #9439147

Radix Representation

Decimal 9439125
Binary 100100000000011110010101 (24 bits)
Octal 0o44003625
Hexadecimal 0x900795

Divisor Catalog (16)

1 3 5 15 25 75 125 375 25,171 75,513 125,855 377,565 629,275 1,887,825 3,146,375 9,439,125

Collatz Trajectory (101 steps to reach 1)

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

9,439,125 28,317,376 14,158,688 7,079,344 3,539,672 1,769,836 884,918 442,459 1,327,378 663,689 1,991,068 995,534 497,767 1,493,302 746,651 2,239,954 1,119,977 3,359,932 1,679,966 839,983 2,519,950 1,259,975 3,779,926 1,889,963 5,669,890 2,834,945 8,504,836 4,252,418 2,126,209 6,378,628 3,189,314 1,594,657 4,783,972 2,391,986 1,195,993 3,587,980 1,793,990 896,995 2,690,986 1,345,493 4,036,480 2,018,240 1,009,120 504,560 252,280 126,140 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869

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