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Atlas › Integer Profiles › Node 2,913,400

2,913,400

23 × 52 × 7 × 2081
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 2081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,745,040
Proper Divisor Sum 4,831,640
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2913377 ← → #2913401

Radix Representation

Decimal 2913400
Binary 1011000111010001111000 (22 bits)
Octal 0o13072170
Hexadecimal 0x2C7478

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 2,081 4,162 8,324 10,405 14,567 16,648 20,810 29,134 41,620 52,025 58,268 72,835 83,240 104,050 116,536 145,670 208,100 291,340 364,175 416,200 582,680 728,350 1,456,700 2,913,400

Collatz Trajectory (151 steps to reach 1)

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

2,913,400 1,456,700 728,350 364,175 1,092,526 546,263 1,638,790 819,395 2,458,186 1,229,093 3,687,280 1,843,640 921,820 460,910 230,455 691,366 345,683 1,037,050 518,525 1,555,576 777,788 388,894 194,447 583,342 291,671 875,014 437,507 1,312,522 656,261 1,968,784 984,392 492,196 246,098 123,049 369,148 184,574 92,287 276,862 138,431 415,294 207,647 622,942 311,471 934,414 467,207 1,401,622 700,811 2,102,434 1,051,217 3,153,652 1,576,826 788,413 2,365,240 1,182,620 591,310 295,655 886,966 443,483 1,330,450 665,225

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