λ
Prime Ledger

3,543,765

3 × 5 × 31 × 7621
Deficient Odd Composite

3,543,765 has the prime decomposition 3 × 5 × 31 × 7621. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 7621
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,853,696
Proper Divisor Sum 2,309,931
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3543763 ← → #3543781

Radix Representation

Decimal 3543765
Binary 1101100001001011010101 (22 bits)
Octal 0o15411325
Hexadecimal 0x3612D5

Divisor Catalog (16)

1 3 5 15 31 93 155 465 7,621 22,863 38,105 114,315 236,251 708,753 1,181,255 3,543,765

Collatz Trajectory (115 steps to reach 1)

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

3,543,765 10,631,296 5,315,648 2,657,824 1,328,912 664,456 332,228 166,114 83,057 249,172 124,586 62,293 186,880 93,440 46,720 23,360 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638

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