λ
Prime Ledger

3,509,883

32 × 13 × 131 × 229
Deficient Odd Composite

3,509,883 has the prime decomposition 3^2 × 13 × 131 × 229. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 131 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,525,520
Proper Divisor Sum 2,015,637
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3509881 ← → #3509903

Radix Representation

Decimal 3509883
Binary 1101011000111001111011 (22 bits)
Octal 0o15307173
Hexadecimal 0x358E7B

Divisor Catalog (24)

1 3 9 13 39 117 131 229 393 687 1,179 1,703 2,061 2,977 5,109 8,931 15,327 26,793 29,999 89,997 269,991 389,987 1,169,961 3,509,883

Collatz Trajectory (71 steps to reach 1)

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

3,509,883 10,529,650 5,264,825 15,794,476 7,897,238 3,948,619 11,845,858 5,922,929 17,768,788 8,884,394 4,442,197 13,326,592 6,663,296 3,331,648 1,665,824 832,912 416,456 208,228 104,114 52,057 156,172 78,086 39,043 117,130 58,565 175,696 87,848 43,924 21,962 10,981 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106

More profiles

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