3,109,640

2³ × 5 × 17² × 269

3,109,640 is even and not a perfect square. Its factorization is 2^3 × 5 × 17^2 × 269 and its 48 divisors sum to 7,460,100.

Prime Factor Structure

Factorization String 2^3 × 5 × 17^2 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,460,100

Proper Divisor Sum 4,350,460

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3109637 ← → #3109649

Radix Representation

Decimal	3109640
Binary	1011110111001100001000 (22 bits)
Octal	0o13671410
Hexadecimal	0x2F7308

Divisor Catalog (48)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 269 289 340 538 578 680 1,076 1,156 1,345 1,445 2,152 2,312 2,690 2,890 4,573 5,380 5,780 9,146 10,760 11,560 18,292 22,865 36,584 45,730 77,741 91,460 155,482 182,920 310,964 388,705 621,928 777,410 1,554,820 3,109,640

Collatz Trajectory (151 steps to reach 1)

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

3,109,640 1,554,820 777,410 388,705 1,166,116 583,058 291,529 874,588 437,294 218,647 655,942 327,971 983,914 491,957 1,475,872 737,936 368,968 184,484 92,242 46,121 138,364 69,182 34,591 103,774 51,887 155,662 77,831 233,494 116,747 350,242 175,121 525,364 262,682 131,341 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548

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