3,110,360

2³ × 5 × 11 × 7069

Starting at 3,110,360, the Collatz iteration reaches 1 after 120 steps. The first transition is 1555180; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 7069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,635,600

Proper Divisor Sum 4,525,240

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3110353 ← → #3110369

Radix Representation

Decimal	3110360
Binary	1011110111010111011000 (22 bits)
Octal	0o13672730
Hexadecimal	0x2F75D8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 7,069 14,138 28,276 35,345 56,552 70,690 77,759 141,380 155,518 282,760 311,036 388,795 622,072 777,590 1,555,180 3,110,360

Collatz Trajectory (120 steps to reach 1)

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

3,110,360 1,555,180 777,590 388,795 1,166,386 583,193 1,749,580 874,790 437,395 1,312,186 656,093 1,968,280 984,140 492,070 246,035 738,106 369,053 1,107,160 553,580 276,790 138,395 415,186 207,593 622,780 311,390 155,695 467,086 233,543 700,630 350,315 1,050,946 525,473 1,576,420 788,210 394,105 1,182,316 591,158 295,579 886,738 443,369 1,330,108 665,054 332,527 997,582 498,791 1,496,374 748,187 2,244,562 1,122,281 3,366,844 1,683,422 841,711 2,525,134 1,262,567 3,787,702 1,893,851 5,681,554 2,840,777 8,522,332 4,261,166

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