λ
Prime Ledger

3,065,109

3 × 59 × 17317
Deficient Odd Composite

3,065,109 has the prime decomposition 3 × 59 × 17317. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 59 × 17317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,156,320
Proper Divisor Sum 1,091,211
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3065081 ← → #3065131

Radix Representation

Decimal 3065109
Binary 1011101100010100010101 (22 bits)
Octal 0o13542425
Hexadecimal 0x2EC515

Divisor Catalog (8)

1 3 59 177 17,317 51,951 1,021,703 3,065,109

Collatz Trajectory (102 steps to reach 1)

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

3,065,109 9,195,328 4,597,664 2,298,832 1,149,416 574,708 287,354 143,677 431,032 215,516 107,758 53,879 161,638 80,819 242,458 121,229 363,688 181,844 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542

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