λ
Prime Ledger

3,609,702

2 × 32 × 31 × 6469
Abundant Even Composite

3,609,702 has the prime decomposition 2 × 3^2 × 31 × 6469. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 6469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,074,560
Proper Divisor Sum 4,464,858
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3609673 ← → #3609703

Radix Representation

Decimal 3609702
Binary 1101110001010001100110 (22 bits)
Octal 0o15612146
Hexadecimal 0x371466

Divisor Catalog (24)

1 2 3 6 9 18 31 62 93 186 279 558 6,469 12,938 19,407 38,814 58,221 116,442 200,539 401,078 601,617 1,203,234 1,804,851 3,609,702

Collatz Trajectory (115 steps to reach 1)

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

3,609,702 1,804,851 5,414,554 2,707,277 8,121,832 4,060,916 2,030,458 1,015,229 3,045,688 1,522,844 761,422 380,711 1,142,134 571,067 1,713,202 856,601 2,569,804 1,284,902 642,451 1,927,354 963,677 2,891,032 1,445,516 722,758 361,379 1,084,138 542,069 1,626,208 813,104 406,552 203,276 101,638 50,819 152,458 76,229 228,688 114,344 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

More profiles

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